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Finding the Third Proportional to 106,674 and 165,214

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Solution

The third proportional to 106,674 and 165,214 is: 255,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674 : 165,214 = 165,214 : x
  2. Step 2: Convert to fraction form
    106,674/165,214 = 165,214/x
  3. Step 3: Cross multiply
    106,674x = 165,214 × 165,214
  4. Step 4: Simplify right side
    106,674x = 27,295,665,796
  5. Step 5: Solve for x
    x = 27,295,665,796/106,674
  6. Step 6: Final answer
    x = 255,879.28

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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.