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Finding the Third Proportional to 85,882 and 129,765

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Solution

The third proportional to 85,882 and 129,765 is: 196,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 129,765 = 129,765 : x
  2. Step 2: Convert to fraction form
    85,882/129,765 = 129,765/x
  3. Step 3: Cross multiply
    85,882x = 129,765 × 129,765
  4. Step 4: Simplify right side
    85,882x = 16,838,955,225
  5. Step 5: Solve for x
    x = 16,838,955,225/85,882
  6. Step 6: Final answer
    x = 196,070.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.