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Finding the Third Proportional to 48,401 and 73,331

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Solution

The third proportional to 48,401 and 73,331 is: 111,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,401 : 73,331 = 73,331 : x
  2. Step 2: Convert to fraction form
    48,401/73,331 = 73,331/x
  3. Step 3: Cross multiply
    48,401x = 73,331 × 73,331
  4. Step 4: Simplify right side
    48,401x = 5,377,435,561
  5. Step 5: Solve for x
    x = 5,377,435,561/48,401
  6. Step 6: Final answer
    x = 111,101.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.