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Finding the Third Proportional to 61,667 and 132,685

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Solution

The third proportional to 61,667 and 132,685 is: 285,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667 : 132,685 = 132,685 : x
  2. Step 2: Convert to fraction form
    61,667/132,685 = 132,685/x
  3. Step 3: Cross multiply
    61,667x = 132,685 × 132,685
  4. Step 4: Simplify right side
    61,667x = 17,605,309,225
  5. Step 5: Solve for x
    x = 17,605,309,225/61,667
  6. Step 6: Final answer
    x = 285,489.96

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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.