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Finding the Third Proportional to 57,667.50 and 123,957

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Solution

The third proportional to 57,667.50 and 123,957 is: 266,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,667.50 : 123,957 = 123,957 : x
  2. Step 2: Convert to fraction form
    57,667.50/123,957 = 123,957/x
  3. Step 3: Cross multiply
    57,667.50x = 123,957 × 123,957
  4. Step 4: Simplify right side
    57,667.50x = 15,365,337,849
  5. Step 5: Solve for x
    x = 15,365,337,849/57,667.50
  6. Step 6: Final answer
    x = 266,447.09

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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.