Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
$$185:199$$

Let's analyze the relationship in the given pair $185:199$:
The difference between the two numbers is:

$$199-185=14$$

Notice that $14$ is equal to the sum of the digits of the first number $185$:

$$\text{Sum of digits}=1+8+5=14$$

Thus, the logic is: $\text{First Number}+(\text{Sum of its digits})=\text{Second Number}$.

Let's test this logic on the given options:

* Option A: $126:134⟹126+(1+2+6)=126+9=135\ne 134$
* Option B: $178:187⟹178+(1+7+8)=178+16=194\ne 187$
* Option C: $139:153⟹139+(1+3+9)=139+13=152\ne 153$
* Option D: $89:106⟹89+(8+9)=89+17=106$

Option D satisfies the logic perfectly.