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Finding the Third Proportional to 87,761 and 195,826

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Solution

The third proportional to 87,761 and 195,826 is: 436,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,761 : 195,826 = 195,826 : x
  2. Step 2: Convert to fraction form
    87,761/195,826 = 195,826/x
  3. Step 3: Cross multiply
    87,761x = 195,826 × 195,826
  4. Step 4: Simplify right side
    87,761x = 38,347,822,276
  5. Step 5: Solve for x
    x = 38,347,822,276/87,761
  6. Step 6: Final answer
    x = 436,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.