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Finding the Third Proportional to 52,524 and 79,757

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Solution

The third proportional to 52,524 and 79,757 is: 121,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 79,757 = 79,757 : x
  2. Step 2: Convert to fraction form
    52,524/79,757 = 79,757/x
  3. Step 3: Cross multiply
    52,524x = 79,757 × 79,757
  4. Step 4: Simplify right side
    52,524x = 6,361,179,049
  5. Step 5: Solve for x
    x = 6,361,179,049/52,524
  6. Step 6: Final answer
    x = 121,109.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.