PRATTVILLE, September 21, 2014 (AFP) - Reto, a South African rookie who led by three going into the round, carded a two-under par 70 to join Hur on 15-under par 201.
The duo are four strokes in front of world number one Stacy Lewis and her fellow American Kris Tamulis.
Tamulis posted the low round of the day on the Senator course on the Robert Trent Jones Golf Trail's Capitol Hill Golf Club. She had seven birdies in a flawless seven-under 65 while Lewis -- who won this title the last time the event was played in 2012 -- signed for a 70.
It was another three strokes back to Thailand's Moriya Jutanugarn and American Alison Walshe, who both shot 71 for 208.
Hur carded four of her six birdies on the back nine as she dueled with Reto.
The South African's six birdies helped her overcome a double-bogey five at the par-three seventh, along with two bogeys.
Leading scores on Saturday after the third round of the LPGA Tour's Yokohama Tire Classic (par 72, USA unless noted):
201 - Hur Mi-Jung (KOR) 64-70-67, Paula Reto (RSA) 65-66-70
205 - Kris Tamulis 67-73-65, Stacy Lewis 64-71-70
208 - Moriya Jutanugarn (THA) 68-69-71, Alison Walshe 69-68-71
209 - Lee Il-Hee (KOR) 67-74-68, Perrine Delacour (FRA) 68-72-69, Brittany Lang 71-68-70, Ayako Uehara (JPN) 66-73-70, Sydnee Michaels 72-65-72
210 - Stacy Keating 71-71-68, Ai Miyazato (JPN) 73-67-70, Karin Sjodin (SWE) 66-74-70, Cydney Clanton 66-72-72
211 - Chella Choi (KOR) 70-71-70, Jodi Ewart Shadoff (ENG) 70-71-70, Thidapa Suwannapura (THA) 69-70-72, Yoo Sun-Young (KOR) 67-72-72
212 - Jane Rah 70-72-70, Becky Morgan (WAL) 72-69-71, Giulia Molinaro (ITA) 70-70-72, Austin Ernst 69-71-72, Mika Miyazato (JPN) 68-72-72
213 - Kim Kaufman 71-72-70, Stephanie Meadow (NIR) 68-74-71, Amy Anderson 68-74-71, Mina Harigae 71-70-72, Beatriz Recari (ESP) 67-73-73, Brittany Lincicome 70-69-74, Jane Park 68-70-75, Christina Kim 67-71-75