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Finding the Third Proportional to 40,181 and 95,192

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Solution

The third proportional to 40,181 and 95,192 is: 225,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,181 : 95,192 = 95,192 : x
  2. Step 2: Convert to fraction form
    40,181/95,192 = 95,192/x
  3. Step 3: Cross multiply
    40,181x = 95,192 × 95,192
  4. Step 4: Simplify right side
    40,181x = 9,061,516,864
  5. Step 5: Solve for x
    x = 9,061,516,864/40,181
  6. Step 6: Final answer
    x = 225,517.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.