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Finding the Third Proportional to 61,761 and 132,883

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Solution

The third proportional to 61,761 and 132,883 is: 285,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,761 : 132,883 = 132,883 : x
  2. Step 2: Convert to fraction form
    61,761/132,883 = 132,883/x
  3. Step 3: Cross multiply
    61,761x = 132,883 × 132,883
  4. Step 4: Simplify right side
    61,761x = 17,657,891,689
  5. Step 5: Solve for x
    x = 17,657,891,689/61,761
  6. Step 6: Final answer
    x = 285,906.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.