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Finding the Third Proportional to 50,579 and 75,867

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Solution

The third proportional to 50,579 and 75,867 is: 113,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,579 : 75,867 = 75,867 : x
  2. Step 2: Convert to fraction form
    50,579/75,867 = 75,867/x
  3. Step 3: Cross multiply
    50,579x = 75,867 × 75,867
  4. Step 4: Simplify right side
    50,579x = 5,755,801,689
  5. Step 5: Solve for x
    x = 5,755,801,689/50,579
  6. Step 6: Final answer
    x = 113,798.25

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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.