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First day joint leader Lee Hodges returned to the summit alongside Paul Barjon after carding an eight-under 64 while world number four Patrick Cantlay slipped down the leaderboard on the third day at the American Express.
Event debutant Hodges responded after his second day 72 with a fine round that included six birdies on the front nine on the stadium course at La Quinta in California on Saturday.
Hodges is 18-under overall, sharing the lead with France's Barjon who carded a seven-under 65 on the stadium course to also soar up the leaderboard.
Cantlay, who had shared the lead with Hodges after the first day and was the outright leader after the second, carded four bogeys in his even-round 72 which saw him slide to 14-under overall.
Tom Hoge remains poised one shot off the leaders at 17-under overall, with five birdies and one bogey in his round of 68.
Ireland's Seamus Power is one stroke behind Hoge, with Harry Higgs, Hudson Swafford, Lanto Griffin, Cameron Young, Harold Varner III and Francesco Molinari all next best 15 under.
World number one Jon Rahm is not far behind, having carded a five-under 67 to be 13-under overall, while veteran Phil Mickelson missed the cut.