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Finding the Third Proportional to 126,798 and 267,741

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Solution

The third proportional to 126,798 and 267,741 is: 565,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,798 : 267,741 = 267,741 : x
  2. Step 2: Convert to fraction form
    126,798/267,741 = 267,741/x
  3. Step 3: Cross multiply
    126,798x = 267,741 × 267,741
  4. Step 4: Simplify right side
    126,798x = 71,685,243,081
  5. Step 5: Solve for x
    x = 71,685,243,081/126,798
  6. Step 6: Final answer
    x = 565,349.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.