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Finding the Third Proportional to 106,524 and 165,624

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Solution

The third proportional to 106,524 and 165,624 is: 257,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524 : 165,624 = 165,624 : x
  2. Step 2: Convert to fraction form
    106,524/165,624 = 165,624/x
  3. Step 3: Cross multiply
    106,524x = 165,624 × 165,624
  4. Step 4: Simplify right side
    106,524x = 27,431,309,376
  5. Step 5: Solve for x
    x = 27,431,309,376/106,524
  6. Step 6: Final answer
    x = 257,512.95

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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.