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Finding the Third Proportional to 57,493.13 and 123,724.13

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Solution

The third proportional to 57,493.13 and 123,724.13 is: 266,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.13 : 123,724.13 = 123,724.13 : x
  2. Step 2: Convert to fraction form
    57,493.13/123,724.13 = 123,724.13/x
  3. Step 3: Cross multiply
    57,493.13x = 123,724.13 × 123,724.13
  4. Step 4: Simplify right side
    57,493.13x = 15,307,659,107.02
  5. Step 5: Solve for x
    x = 15,307,659,107.02/57,493.13
  6. Step 6: Final answer
    x = 266,251.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.