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Finding the Third Proportional to 126,200 and 267,984

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Solution

The third proportional to 126,200 and 267,984 is: 569,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,200 : 267,984 = 267,984 : x
  2. Step 2: Convert to fraction form
    126,200/267,984 = 267,984/x
  3. Step 3: Cross multiply
    126,200x = 267,984 × 267,984
  4. Step 4: Simplify right side
    126,200x = 71,815,424,256
  5. Step 5: Solve for x
    x = 71,815,424,256/126,200
  6. Step 6: Final answer
    x = 569,060.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.