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Finding the Third Proportional to 81,510 and 123,931

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Solution

The third proportional to 81,510 and 123,931 is: 188,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,510 : 123,931 = 123,931 : x
  2. Step 2: Convert to fraction form
    81,510/123,931 = 123,931/x
  3. Step 3: Cross multiply
    81,510x = 123,931 × 123,931
  4. Step 4: Simplify right side
    81,510x = 15,358,892,761
  5. Step 5: Solve for x
    x = 15,358,892,761/81,510
  6. Step 6: Final answer
    x = 188,429.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.