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Finding the Third Proportional to 122,500 and 252,872

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Solution

The third proportional to 122,500 and 252,872 is: 521,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,500 : 252,872 = 252,872 : x
  2. Step 2: Convert to fraction form
    122,500/252,872 = 252,872/x
  3. Step 3: Cross multiply
    122,500x = 252,872 × 252,872
  4. Step 4: Simplify right side
    122,500x = 63,944,248,384
  5. Step 5: Solve for x
    x = 63,944,248,384/122,500
  6. Step 6: Final answer
    x = 521,993.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.