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Finding the Third Proportional to 50,450 and 75,675

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Solution

The third proportional to 50,450 and 75,675 is: 113,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450 : 75,675 = 75,675 : x
  2. Step 2: Convert to fraction form
    50,450/75,675 = 75,675/x
  3. Step 3: Cross multiply
    50,450x = 75,675 × 75,675
  4. Step 4: Simplify right side
    50,450x = 5,726,705,625
  5. Step 5: Solve for x
    x = 5,726,705,625/50,450
  6. Step 6: Final answer
    x = 113,512.50

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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.