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Finding the Third Proportional to 124,780 and 267,424

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Solution

The third proportional to 124,780 and 267,424 is: 573,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,780 : 267,424 = 267,424 : x
  2. Step 2: Convert to fraction form
    124,780/267,424 = 267,424/x
  3. Step 3: Cross multiply
    124,780x = 267,424 × 267,424
  4. Step 4: Simplify right side
    124,780x = 71,515,595,776
  5. Step 5: Solve for x
    x = 71,515,595,776/124,780
  6. Step 6: Final answer
    x = 573,133.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.