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Finding the Third Proportional to 81,713.25 and 123,792.75

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Solution

The third proportional to 81,713.25 and 123,792.75 is: 187,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713.25 : 123,792.75 = 123,792.75 : x
  2. Step 2: Convert to fraction form
    81,713.25/123,792.75 = 123,792.75/x
  3. Step 3: Cross multiply
    81,713.25x = 123,792.75 × 123,792.75
  4. Step 4: Simplify right side
    81,713.25x = 15,324,644,952.56
  5. Step 5: Solve for x
    x = 15,324,644,952.56/81,713.25
  6. Step 6: Final answer
    x = 187,541.74

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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.