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Finding the Third Proportional to 61,847 and 132,439

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Solution

The third proportional to 61,847 and 132,439 is: 283,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,847 : 132,439 = 132,439 : x
  2. Step 2: Convert to fraction form
    61,847/132,439 = 132,439/x
  3. Step 3: Cross multiply
    61,847x = 132,439 × 132,439
  4. Step 4: Simplify right side
    61,847x = 17,540,088,721
  5. Step 5: Solve for x
    x = 17,540,088,721/61,847
  6. Step 6: Final answer
    x = 283,604.52

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Why These Related Problems?

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