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Finding the Third Proportional to 106,845 and 165,432

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Solution

The third proportional to 106,845 and 165,432 is: 256,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,845 : 165,432 = 165,432 : x
  2. Step 2: Convert to fraction form
    106,845/165,432 = 165,432/x
  3. Step 3: Cross multiply
    106,845x = 165,432 × 165,432
  4. Step 4: Simplify right side
    106,845x = 27,367,746,624
  5. Step 5: Solve for x
    x = 27,367,746,624/106,845
  6. Step 6: Final answer
    x = 256,144.38

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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.