How many third rates could the Royal Navy keep in commission?

What was the largest number of third-rate ships the Royal Navy had in commission at one time?

The total varied, but it reached about 110 at its peak; the Royal Navy had 71 third rates in commission in 1794.

The Royal Navy had 71 third rates in commission in 1794 and reached a peak of about 110 at other points. Its 1814 force also included 360 sloops, gun-brigs, cutters, and schooners, together with 134 fifth rates. The figures for that year include ten fourth rates, seven second rates, and eight first rates. These totals place the third-rate force within a much broader fleet of smaller warships.