2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80230We consider an ensemble which interpolates the Laguerre orthogonal ensemble and the Laguerre symplectic ensemble. This interpolating ensemble was introduced earlier by the author and Rains in connection with a last passage percolation model with a symmetry condition. In this paper, we obtain a Painelevé V expression for the distribution of the rightmost particle of the interpolating ensemble. Special cases of this result yield the Painlevé V expressions for the largest eigenvalues of Laguerre orthogonal ensemble and Laguerre symplectic ensemble of finite size.LaTex, 41 pages, 2 FiguresExactly Solvable and Integrable SystemsProbabilitytext