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Finding the Third Proportional to 128,538 and 182,691

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Solution

The third proportional to 128,538 and 182,691 is: 259,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,538 : 182,691 = 182,691 : x
  2. Step 2: Convert to fraction form
    128,538/182,691 = 182,691/x
  3. Step 3: Cross multiply
    128,538x = 182,691 × 182,691
  4. Step 4: Simplify right side
    128,538x = 33,376,001,481
  5. Step 5: Solve for x
    x = 33,376,001,481/128,538
  6. Step 6: Final answer
    x = 259,658.63

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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.