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Finding the Third Proportional to 40,691 and 88,147

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Solution

The third proportional to 40,691 and 88,147 is: 190,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,691 : 88,147 = 88,147 : x
  2. Step 2: Convert to fraction form
    40,691/88,147 = 88,147/x
  3. Step 3: Cross multiply
    40,691x = 88,147 × 88,147
  4. Step 4: Simplify right side
    40,691x = 7,769,893,609
  5. Step 5: Solve for x
    x = 7,769,893,609/40,691
  6. Step 6: Final answer
    x = 190,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.