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Finding the Third Proportional to 77,997 and 159,691

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Solution

The third proportional to 77,997 and 159,691 is: 326,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997 : 159,691 = 159,691 : x
  2. Step 2: Convert to fraction form
    77,997/159,691 = 159,691/x
  3. Step 3: Cross multiply
    77,997x = 159,691 × 159,691
  4. Step 4: Simplify right side
    77,997x = 25,501,215,481
  5. Step 5: Solve for x
    x = 25,501,215,481/77,997
  6. Step 6: Final answer
    x = 326,951.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.