Comparing rates of hydrolysis in cyclohexane ring (involving neighbouring group participation)
The third reaction infact occurs via neighbouring group
  participation.


(https://en.wikipedia.org/wiki/Neighbouring_group_participation)


In the third compound $\ce{S}$ atom attacks carbon containing $\ce{Cl}$ by $\ce{SN_{NGP}}$ forming sulphonium ion. An attack by $\ce{H2O}$ on the least hindered carbon of the three member ring occurs. In this case both the carbopns in three member ring will be similar though. So the third compound has highest rate of reaction.


(I'd like to add "This can only happen in the trans configuration, however it requires ring flip into the higher-energy trans-diaxial conformation." as pointed out by - @orthocresol in the comments to the orginal question.)


  Adding as a proof that trans reacts faster than cis form during NGP in cyclohexane ring.
  http://meskvmcollege.org/upload/study_material/30275.pdf (See page 10
  of the pdf)



The first compound has second highest rate. Anchimeric assistance cannot occur in cis form. Negative inductive effect by $\ce{Cl}$ enhances the rate. Reaction mechanism is $\ce{S_N1}$ and water itself acts as nucleophile.
The central compound has the lowest rate among the three. $\ce{S_N1}$ mechanism occurs and $\ce{Cl}$ is replaced by $\ce{OH}$ where water itself acts as nucleophile.



  So summing up: $$\ce{rate_3&gt;rate_1&gt;rate_2}$$