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Finding the Third Proportional to 137,934 and 195,192

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Solution

The third proportional to 137,934 and 195,192 is: 276,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,934 : 195,192 = 195,192 : x
  2. Step 2: Convert to fraction form
    137,934/195,192 = 195,192/x
  3. Step 3: Cross multiply
    137,934x = 195,192 × 195,192
  4. Step 4: Simplify right side
    137,934x = 38,099,916,864
  5. Step 5: Solve for x
    x = 38,099,916,864/137,934
  6. Step 6: Final answer
    x = 276,218.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.