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Finding the Third Proportional to 50,577 and 75,864

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Solution

The third proportional to 50,577 and 75,864 is: 113,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577 : 75,864 = 75,864 : x
  2. Step 2: Convert to fraction form
    50,577/75,864 = 75,864/x
  3. Step 3: Cross multiply
    50,577x = 75,864 × 75,864
  4. Step 4: Simplify right side
    50,577x = 5,755,346,496
  5. Step 5: Solve for x
    x = 5,755,346,496/50,577
  6. Step 6: Final answer
    x = 113,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.