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Finding the Third Proportional to 43,902 and 95,256

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Solution

The third proportional to 43,902 and 95,256 is: 206,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 95,256 = 95,256 : x
  2. Step 2: Convert to fraction form
    43,902/95,256 = 95,256/x
  3. Step 3: Cross multiply
    43,902x = 95,256 × 95,256
  4. Step 4: Simplify right side
    43,902x = 9,073,705,536
  5. Step 5: Solve for x
    x = 9,073,705,536/43,902
  6. Step 6: Final answer
    x = 206,680.92

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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.