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Finding the Third Proportional to 50,249.25 and 75,319.88

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Solution

The third proportional to 50,249.25 and 75,319.88 is: 112,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249.25 : 75,319.88 = 75,319.88 : x
  2. Step 2: Convert to fraction form
    50,249.25/75,319.88 = 75,319.88/x
  3. Step 3: Cross multiply
    50,249.25x = 75,319.88 × 75,319.88
  4. Step 4: Simplify right side
    50,249.25x = 5,673,083,570.02
  5. Step 5: Solve for x
    x = 5,673,083,570.02/50,249.25
  6. Step 6: Final answer
    x = 112,898.87

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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.