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Finding the Third Proportional to 95,933 and 150,161

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Solution

The third proportional to 95,933 and 150,161 is: 235,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,933 : 150,161 = 150,161 : x
  2. Step 2: Convert to fraction form
    95,933/150,161 = 150,161/x
  3. Step 3: Cross multiply
    95,933x = 150,161 × 150,161
  4. Step 4: Simplify right side
    95,933x = 22,548,325,921
  5. Step 5: Solve for x
    x = 22,548,325,921/95,933
  6. Step 6: Final answer
    x = 235,042.44

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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.