How can I calculate the products of a vector of matrices

Suppose that I have an array like this:

mats=zeros(2,2,3);
mats(:,:,1)=[0.9 0.1;0.6 0.4];
mats(:,:,2)=[0.8 0.2;0.5 0.5];
mats(:,:,3)=[0.75 0.25;0.7 0.3];

(in my actual application the third dimension of this array is much larger than 3).

I am in need of a function which will produce the same result as the operations shown below:

mats2=zeros(2,2,3);
mats2(:,:,1)=mats(:,:,1);
mats2(:,:,2)=mats(:,:,1)*mats(:,:,2);
mats2(:,:,3)=mats(:,:,1)*mats(:,:,2)*mats(:,:,3);

This needs to be done without looping over the 3rd dimension of "mats" as doing so every time I need this result calculated would be extremely time-consuming.

In essence I am hence in need of a version of the prod()-function which will perform matrix multiplication successively over the elements (=matrices) of a vector of matrices and will store the results in a new vector of the same dimensions.