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Finding the Third Proportional to 50,180 and 68,809

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Solution

The third proportional to 50,180 and 68,809 is: 94,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,180 : 68,809 = 68,809 : x
  2. Step 2: Convert to fraction form
    50,180/68,809 = 68,809/x
  3. Step 3: Cross multiply
    50,180x = 68,809 × 68,809
  4. Step 4: Simplify right side
    50,180x = 4,734,678,481
  5. Step 5: Solve for x
    x = 4,734,678,481/50,180
  6. Step 6: Final answer
    x = 94,353.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.