DAYTON — The unemployment rate in Ohio ticked up in August for the third consecutive month to 9.1 percent, putting the state’s jobless rate on par with the national rate, according to figures released Friday by the Ohio Department of Job and Family Services.

The net loss in nonfarm employment was 700 jobs from July to August, and the number of unemployed Ohioans now stands at 536,000, up from 529,000 in July.

The August rate was down from 9.9 percent a year ago, when more than 583,000 Ohioans were unemployed.

The manufacturing sector, which showed strong gains in employment over the first half of the year, lost 1,600 jobs last month. But the most significant losses were in professional and business services, which shed 2,500 jobs.

Educational and health services added 2,300 jobs.