Finding the Third Proportional to 82,560 and 129,696
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Solution
The third proportional to 82,560 and 129,696 is: 203,743.37
Step by Step Solution
- Step 1: Write the proportion equation
82,560 : 129,696 = 129,696 : x - Step 2: Convert to fraction form
82,560/129,696 = 129,696/x - Step 3: Cross multiply
82,560x = 129,696 × 129,696 - Step 4: Simplify right side
82,560x = 16,821,052,416 - Step 5: Solve for x
x = 16,821,052,416/82,560 - Step 6: Final answer
x = 203,743.37
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.