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Finding the Third Proportional to 106,668 and 165,204

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Solution

The third proportional to 106,668 and 165,204 is: 255,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668 : 165,204 = 165,204 : x
  2. Step 2: Convert to fraction form
    106,668/165,204 = 165,204/x
  3. Step 3: Cross multiply
    106,668x = 165,204 × 165,204
  4. Step 4: Simplify right side
    106,668x = 27,292,361,616
  5. Step 5: Solve for x
    x = 27,292,361,616/106,668
  6. Step 6: Final answer
    x = 255,862.69

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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.