Finding the Third Proportional to 102,627 and 198,144
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Solution
The third proportional to 102,627 and 198,144 is: 382,560.58
Step by Step Solution
- Step 1: Write the proportion equation
102,627 : 198,144 = 198,144 : x - Step 2: Convert to fraction form
102,627/198,144 = 198,144/x - Step 3: Cross multiply
102,627x = 198,144 × 198,144 - Step 4: Simplify right side
102,627x = 39,261,044,736 - Step 5: Solve for x
x = 39,261,044,736/102,627 - Step 6: Final answer
x = 382,560.58
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.