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Finding the Third Proportional to 61,793 and 132,902

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Solution

The third proportional to 61,793 and 132,902 is: 285,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,793 : 132,902 = 132,902 : x
  2. Step 2: Convert to fraction form
    61,793/132,902 = 132,902/x
  3. Step 3: Cross multiply
    61,793x = 132,902 × 132,902
  4. Step 4: Simplify right side
    61,793x = 17,662,941,604
  5. Step 5: Solve for x
    x = 17,662,941,604/61,793
  6. Step 6: Final answer
    x = 285,840.49

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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.