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Finding the Third Proportional to 61,667.50 and 132,542

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Solution

The third proportional to 61,667.50 and 132,542 is: 284,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667.50 : 132,542 = 132,542 : x
  2. Step 2: Convert to fraction form
    61,667.50/132,542 = 132,542/x
  3. Step 3: Cross multiply
    61,667.50x = 132,542 × 132,542
  4. Step 4: Simplify right side
    61,667.50x = 17,567,381,764
  5. Step 5: Solve for x
    x = 17,567,381,764/61,667.50
  6. Step 6: Final answer
    x = 284,872.61

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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.