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Finding the Third Proportional to 126,803 and 267,751

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Solution

The third proportional to 126,803 and 267,751 is: 565,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,803 : 267,751 = 267,751 : x
  2. Step 2: Convert to fraction form
    126,803/267,751 = 267,751/x
  3. Step 3: Cross multiply
    126,803x = 267,751 × 267,751
  4. Step 4: Simplify right side
    126,803x = 71,690,598,001
  5. Step 5: Solve for x
    x = 71,690,598,001/126,803
  6. Step 6: Final answer
    x = 565,369.89

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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.