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Finding the Third Proportional to 137,424 and 195,992

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Solution

The third proportional to 137,424 and 195,992 is: 279,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,424 : 195,992 = 195,992 : x
  2. Step 2: Convert to fraction form
    137,424/195,992 = 195,992/x
  3. Step 3: Cross multiply
    137,424x = 195,992 × 195,992
  4. Step 4: Simplify right side
    137,424x = 38,412,864,064
  5. Step 5: Solve for x
    x = 38,412,864,064/137,424
  6. Step 6: Final answer
    x = 279,520.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.