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Finding the Third Proportional to 62,124 and 132,996

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Solution

The third proportional to 62,124 and 132,996 is: 284,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,124 : 132,996 = 132,996 : x
  2. Step 2: Convert to fraction form
    62,124/132,996 = 132,996/x
  3. Step 3: Cross multiply
    62,124x = 132,996 × 132,996
  4. Step 4: Simplify right side
    62,124x = 17,687,936,016
  5. Step 5: Solve for x
    x = 17,687,936,016/62,124
  6. Step 6: Final answer
    x = 284,719.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.