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Finding the Third Proportional to 52,251 and 79,599

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Solution

The third proportional to 52,251 and 79,599 is: 121,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251 : 79,599 = 79,599 : x
  2. Step 2: Convert to fraction form
    52,251/79,599 = 79,599/x
  3. Step 3: Cross multiply
    52,251x = 79,599 × 79,599
  4. Step 4: Simplify right side
    52,251x = 6,336,000,801
  5. Step 5: Solve for x
    x = 6,336,000,801/52,251
  6. Step 6: Final answer
    x = 121,260.85

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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.