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Finding the Third Proportional to 126,171 and 266,559

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Solution

The third proportional to 126,171 and 266,559 is: 563,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,171 : 266,559 = 266,559 : x
  2. Step 2: Convert to fraction form
    126,171/266,559 = 266,559/x
  3. Step 3: Cross multiply
    126,171x = 266,559 × 266,559
  4. Step 4: Simplify right side
    126,171x = 71,053,700,481
  5. Step 5: Solve for x
    x = 71,053,700,481/126,171
  6. Step 6: Final answer
    x = 563,153.98

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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.