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Finding the Third Proportional to 122,658 and 182,691

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Solution

The third proportional to 122,658 and 182,691 is: 272,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,658 : 182,691 = 182,691 : x
  2. Step 2: Convert to fraction form
    122,658/182,691 = 182,691/x
  3. Step 3: Cross multiply
    122,658x = 182,691 × 182,691
  4. Step 4: Simplify right side
    122,658x = 33,376,001,481
  5. Step 5: Solve for x
    x = 33,376,001,481/122,658
  6. Step 6: Final answer
    x = 272,106.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.