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Finding the Third Proportional to 106,867 and 166,134

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Solution

The third proportional to 106,867 and 166,134 is: 258,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867 : 166,134 = 166,134 : x
  2. Step 2: Convert to fraction form
    106,867/166,134 = 166,134/x
  3. Step 3: Cross multiply
    106,867x = 166,134 × 166,134
  4. Step 4: Simplify right side
    106,867x = 27,600,505,956
  5. Step 5: Solve for x
    x = 27,600,505,956/106,867
  6. Step 6: Final answer
    x = 258,269.68

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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.