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Finding the Third Proportional to 126,863 and 166,855

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Solution

The third proportional to 126,863 and 166,855 is: 219,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,863 : 166,855 = 166,855 : x
  2. Step 2: Convert to fraction form
    126,863/166,855 = 166,855/x
  3. Step 3: Cross multiply
    126,863x = 166,855 × 166,855
  4. Step 4: Simplify right side
    126,863x = 27,840,591,025
  5. Step 5: Solve for x
    x = 27,840,591,025/126,863
  6. Step 6: Final answer
    x = 219,453.99

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.