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Finding the Third Proportional to 95,336 and 151,192

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Solution

The third proportional to 95,336 and 151,192 is: 239,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,336 : 151,192 = 151,192 : x
  2. Step 2: Convert to fraction form
    95,336/151,192 = 151,192/x
  3. Step 3: Cross multiply
    95,336x = 151,192 × 151,192
  4. Step 4: Simplify right side
    95,336x = 22,859,020,864
  5. Step 5: Solve for x
    x = 22,859,020,864/95,336
  6. Step 6: Final answer
    x = 239,773.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.