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Finding the Third Proportional to 95,902 and 150,443

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Solution

The third proportional to 95,902 and 150,443 is: 236,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,902 : 150,443 = 150,443 : x
  2. Step 2: Convert to fraction form
    95,902/150,443 = 150,443/x
  3. Step 3: Cross multiply
    95,902x = 150,443 × 150,443
  4. Step 4: Simplify right side
    95,902x = 22,633,096,249
  5. Step 5: Solve for x
    x = 22,633,096,249/95,902
  6. Step 6: Final answer
    x = 236,002.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.