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Finding the Third Proportional to 126,174 and 266,564

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Solution

The third proportional to 126,174 and 266,564 is: 563,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,174 : 266,564 = 266,564 : x
  2. Step 2: Convert to fraction form
    126,174/266,564 = 266,564/x
  3. Step 3: Cross multiply
    126,174x = 266,564 × 266,564
  4. Step 4: Simplify right side
    126,174x = 71,056,366,096
  5. Step 5: Solve for x
    x = 71,056,366,096/126,174
  6. Step 6: Final answer
    x = 563,161.71

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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.