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Finding the Third Proportional to 122,691 and 250,542

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Solution

The third proportional to 122,691 and 250,542 is: 511,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,691 : 250,542 = 250,542 : x
  2. Step 2: Convert to fraction form
    122,691/250,542 = 250,542/x
  3. Step 3: Cross multiply
    122,691x = 250,542 × 250,542
  4. Step 4: Simplify right side
    122,691x = 62,771,293,764
  5. Step 5: Solve for x
    x = 62,771,293,764/122,691
  6. Step 6: Final answer
    x = 511,621.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.