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Finding the Third Proportional to 110,662 and 166,103

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Solution

The third proportional to 110,662 and 166,103 is: 249,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,662 : 166,103 = 166,103 : x
  2. Step 2: Convert to fraction form
    110,662/166,103 = 166,103/x
  3. Step 3: Cross multiply
    110,662x = 166,103 × 166,103
  4. Step 4: Simplify right side
    110,662x = 27,590,206,609
  5. Step 5: Solve for x
    x = 27,590,206,609/110,662
  6. Step 6: Final answer
    x = 249,319.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.