Finding the Third Proportional to 82,807 and 131,332
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Solution
The third proportional to 82,807 and 131,332 is: 208,292.71
Step by Step Solution
- Step 1: Write the proportion equation
82,807 : 131,332 = 131,332 : x - Step 2: Convert to fraction form
82,807/131,332 = 131,332/x - Step 3: Cross multiply
82,807x = 131,332 × 131,332 - Step 4: Simplify right side
82,807x = 17,248,094,224 - Step 5: Solve for x
x = 17,248,094,224/82,807 - Step 6: Final answer
x = 208,292.71
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.