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Finding the Third Proportional to 57,434.91 and 123,712.03

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Solution

The third proportional to 57,434.91 and 123,712.03 is: 266,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434.91 : 123,712.03 = 123,712.03 : x
  2. Step 2: Convert to fraction form
    57,434.91/123,712.03 = 123,712.03/x
  3. Step 3: Cross multiply
    57,434.91x = 123,712.03 × 123,712.03
  4. Step 4: Simplify right side
    57,434.91x = 15,304,666,676.00
  5. Step 5: Solve for x
    x = 15,304,666,676.00/57,434.91
  6. Step 6: Final answer
    x = 266,469.78

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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.