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Finding the Third Proportional to 95,644 and 140,393

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Solution

The third proportional to 95,644 and 140,393 is: 206,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,644 : 140,393 = 140,393 : x
  2. Step 2: Convert to fraction form
    95,644/140,393 = 140,393/x
  3. Step 3: Cross multiply
    95,644x = 140,393 × 140,393
  4. Step 4: Simplify right side
    95,644x = 19,710,194,449
  5. Step 5: Solve for x
    x = 19,710,194,449/95,644
  6. Step 6: Final answer
    x = 206,078.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.