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Finding the Third Proportional to 50,593 and 74,249

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Solution

The third proportional to 50,593 and 74,249 is: 108,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,593 : 74,249 = 74,249 : x
  2. Step 2: Convert to fraction form
    50,593/74,249 = 74,249/x
  3. Step 3: Cross multiply
    50,593x = 74,249 × 74,249
  4. Step 4: Simplify right side
    50,593x = 5,512,914,001
  5. Step 5: Solve for x
    x = 5,512,914,001/50,593
  6. Step 6: Final answer
    x = 108,965.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.