Hamilton, the leading money winner on the Japanese tour this season, will face David Smail of New Zealand on Sunday.
Hamilton defeated Taniguchi 5 and 3, then posted a 1-up victory over Miyase in the semifinals.
Smail beat Hiroyuki Fujita 2 and 1 in the third round before defeating Tetsuji Hiratsuka 4 and 3.
The Japan PGA Matchplay Championship features a field selected on the basis of money rankings.
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