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Finding the Third Proportional to 87,051 and 117,447

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Solution

The third proportional to 87,051 and 117,447 is: 158,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,051 : 117,447 = 117,447 : x
  2. Step 2: Convert to fraction form
    87,051/117,447 = 117,447/x
  3. Step 3: Cross multiply
    87,051x = 117,447 × 117,447
  4. Step 4: Simplify right side
    87,051x = 13,793,797,809
  5. Step 5: Solve for x
    x = 13,793,797,809/87,051
  6. Step 6: Final answer
    x = 158,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.