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Finding the Third Proportional to 50,753 and 75,837

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Solution

The third proportional to 50,753 and 75,837 is: 113,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,753 : 75,837 = 75,837 : x
  2. Step 2: Convert to fraction form
    50,753/75,837 = 75,837/x
  3. Step 3: Cross multiply
    50,753x = 75,837 × 75,837
  4. Step 4: Simplify right side
    50,753x = 5,751,250,569
  5. Step 5: Solve for x
    x = 5,751,250,569/50,753
  6. Step 6: Final answer
    x = 113,318.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.