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Finding the Third Proportional to 123,079.50 and 267,167.25

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Solution

The third proportional to 123,079.50 and 267,167.25 is: 579,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,079.50 : 267,167.25 = 267,167.25 : x
  2. Step 2: Convert to fraction form
    123,079.50/267,167.25 = 267,167.25/x
  3. Step 3: Cross multiply
    123,079.50x = 267,167.25 × 267,167.25
  4. Step 4: Simplify right side
    123,079.50x = 71,378,339,472.56
  5. Step 5: Solve for x
    x = 71,378,339,472.56/123,079.50
  6. Step 6: Final answer
    x = 579,936.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.