Yuki edged past local lad Jack Sock 6-4, 6-3 in the third round.
This was for the first time that Yuki faced some resistance in the tournament. Sock played some solid service games and made Yuki earn his points. Till the eighth game of the first set there was no break of serve.
However, Yuki's tenacity paid as he created chances and converted his fourth break-point in the ninth game to open up lead and served out the set in the next game.
The world No 1 junior though did not have to wait for a break in the second set as he broke Sock in the very first game to make a perfect start.
The reigning junior Australian Open champion, though, was in for a surprise as the American broke him in the fourth game to make it 2-2.
From there on, both players struggled to hold serve and traded breaks in three consecutive games before Yuki held in the eighth to make it 5-3 and converted his first match-point on Sock's serve in the ninth game.
Yuki will next play the winner of the match between Chase Buchanan of America and Marton Fucsovics of Hungary.
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