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Finding the Third Proportional to 107,866 and 166,847

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Solution

The third proportional to 107,866 and 166,847 is: 258,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,866 : 166,847 = 166,847 : x
  2. Step 2: Convert to fraction form
    107,866/166,847 = 166,847/x
  3. Step 3: Cross multiply
    107,866x = 166,847 × 166,847
  4. Step 4: Simplify right side
    107,866x = 27,837,921,409
  5. Step 5: Solve for x
    x = 27,837,921,409/107,866
  6. Step 6: Final answer
    x = 258,078.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.