Finding the Third Proportional to 82,641 and 169,638
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Solution
The third proportional to 82,641 and 169,638 is: 348,217.60
Step by Step Solution
- Step 1: Write the proportion equation
82,641 : 169,638 = 169,638 : x - Step 2: Convert to fraction form
82,641/169,638 = 169,638/x - Step 3: Cross multiply
82,641x = 169,638 × 169,638 - Step 4: Simplify right side
82,641x = 28,777,051,044 - Step 5: Solve for x
x = 28,777,051,044/82,641 - Step 6: Final answer
x = 348,217.60
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.