Finding the Third Proportional to 82,548 and 177,732
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Solution
The third proportional to 82,548 and 177,732 is: 382,670.25
Step by Step Solution
- Step 1: Write the proportion equation
82,548 : 177,732 = 177,732 : x - Step 2: Convert to fraction form
82,548/177,732 = 177,732/x - Step 3: Cross multiply
82,548x = 177,732 × 177,732 - Step 4: Simplify right side
82,548x = 31,588,663,824 - Step 5: Solve for x
x = 31,588,663,824/82,548 - Step 6: Final answer
x = 382,670.25
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.