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Finding the Third Proportional to 87,761 and 132,417

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Solution

The third proportional to 87,761 and 132,417 is: 199,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,761 : 132,417 = 132,417 : x
  2. Step 2: Convert to fraction form
    87,761/132,417 = 132,417/x
  3. Step 3: Cross multiply
    87,761x = 132,417 × 132,417
  4. Step 4: Simplify right side
    87,761x = 17,534,261,889
  5. Step 5: Solve for x
    x = 17,534,261,889/87,761
  6. Step 6: Final answer
    x = 199,795.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.