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Finding the Third Proportional to 50,135.20 and 75,213.56

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Solution

The third proportional to 50,135.20 and 75,213.56 is: 112,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,135.20 : 75,213.56 = 75,213.56 : x
  2. Step 2: Convert to fraction form
    50,135.20/75,213.56 = 75,213.56/x
  3. Step 3: Cross multiply
    50,135.20x = 75,213.56 × 75,213.56
  4. Step 4: Simplify right side
    50,135.20x = 5,657,079,983.94
  5. Step 5: Solve for x
    x = 5,657,079,983.94/50,135.20
  6. Step 6: Final answer
    x = 112,836.48

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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.