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Finding the Third Proportional to 126,167 and 266,551

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Solution

The third proportional to 126,167 and 266,551 is: 563,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,167 : 266,551 = 266,551 : x
  2. Step 2: Convert to fraction form
    126,167/266,551 = 266,551/x
  3. Step 3: Cross multiply
    126,167x = 266,551 × 266,551
  4. Step 4: Simplify right side
    126,167x = 71,049,435,601
  5. Step 5: Solve for x
    x = 71,049,435,601/126,167
  6. Step 6: Final answer
    x = 563,138.03

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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.