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Finding the Third Proportional to 126,171 and 266,558

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Solution

The third proportional to 126,171 and 266,558 is: 563,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,171 : 266,558 = 266,558 : x
  2. Step 2: Convert to fraction form
    126,171/266,558 = 266,558/x
  3. Step 3: Cross multiply
    126,171x = 266,558 × 266,558
  4. Step 4: Simplify right side
    126,171x = 71,053,167,364
  5. Step 5: Solve for x
    x = 71,053,167,364/126,171
  6. Step 6: Final answer
    x = 563,149.75

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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.