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Finding the Third Proportional to 52,110 and 79,218

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Solution

The third proportional to 52,110 and 79,218 is: 120,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 79,218 = 79,218 : x
  2. Step 2: Convert to fraction form
    52,110/79,218 = 79,218/x
  3. Step 3: Cross multiply
    52,110x = 79,218 × 79,218
  4. Step 4: Simplify right side
    52,110x = 6,275,491,524
  5. Step 5: Solve for x
    x = 6,275,491,524/52,110
  6. Step 6: Final answer
    x = 120,427.78

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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.