80, 141, ?, 193, 209, 222
Find the missing number in the following number series.

To find the missing number in the series, let us first state the correct option clearly:

The correct option is 172.

Let us analyze the differences between consecutive terms in the series: 80, 141, 172, 193, 209, 222.

$141-80=61$
$172-141=31$
$193-172=21$
$209-193=16$
$222-209=13$

Now, let us examine the pattern of these differences: 61, 31, 21, 16, 13. We can represent each difference in the form of a mathematical relation:

$\text{First difference:}\frac{60}{1}+1=61$
$\text{Second difference:}\frac{60}{2}+1=31$
$\text{Third difference:}\frac{60}{3}+1=21$
$\text{Fourth difference:}\frac{60}{4}+1=16$
$\text{Fifth difference:}\frac{60}{5}+1=13$

Following this established logical pattern, the missing number in the series is obtained by adding the second difference (31) to the second term (141):

$141+31=172$