Finding the Third Proportional to 82,956 and 177,552
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Solution
The third proportional to 82,956 and 177,552 is: 380,017.27
Step by Step Solution
- Step 1: Write the proportion equation
82,956 : 177,552 = 177,552 : x - Step 2: Convert to fraction form
82,956/177,552 = 177,552/x - Step 3: Cross multiply
82,956x = 177,552 × 177,552 - Step 4: Simplify right side
82,956x = 31,524,712,704 - Step 5: Solve for x
x = 31,524,712,704/82,956 - Step 6: Final answer
x = 380,017.27
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.