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Finding the Third Proportional to 80,652 and 129,486

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Solution

The third proportional to 80,652 and 129,486 is: 207,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,652 : 129,486 = 129,486 : x
  2. Step 2: Convert to fraction form
    80,652/129,486 = 129,486/x
  3. Step 3: Cross multiply
    80,652x = 129,486 × 129,486
  4. Step 4: Simplify right side
    80,652x = 16,766,624,196
  5. Step 5: Solve for x
    x = 16,766,624,196/80,652
  6. Step 6: Final answer
    x = 207,888.51

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.