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Finding the Third Proportional to 81,765 and 109,882

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Solution

The third proportional to 81,765 and 109,882 is: 147,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765 : 109,882 = 109,882 : x
  2. Step 2: Convert to fraction form
    81,765/109,882 = 109,882/x
  3. Step 3: Cross multiply
    81,765x = 109,882 × 109,882
  4. Step 4: Simplify right side
    81,765x = 12,074,053,924
  5. Step 5: Solve for x
    x = 12,074,053,924/81,765
  6. Step 6: Final answer
    x = 147,667.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.