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Finding the Third Proportional to 50,434 and 75,868.75

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Solution

The third proportional to 50,434 and 75,868.75 is: 114,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,434 : 75,868.75 = 75,868.75 : x
  2. Step 2: Convert to fraction form
    50,434/75,868.75 = 75,868.75/x
  3. Step 3: Cross multiply
    50,434x = 75,868.75 × 75,868.75
  4. Step 4: Simplify right side
    50,434x = 5,756,067,226.56
  5. Step 5: Solve for x
    x = 5,756,067,226.56/50,434
  6. Step 6: Final answer
    x = 114,130.69

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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.