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Finding the Third Proportional to 95,934 and 150,162

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Solution

The third proportional to 95,934 and 150,162 is: 235,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,934 : 150,162 = 150,162 : x
  2. Step 2: Convert to fraction form
    95,934/150,162 = 150,162/x
  3. Step 3: Cross multiply
    95,934x = 150,162 × 150,162
  4. Step 4: Simplify right side
    95,934x = 22,548,626,244
  5. Step 5: Solve for x
    x = 22,548,626,244/95,934
  6. Step 6: Final answer
    x = 235,043.12

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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.