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Finding the Third Proportional to 48,354 and 73,962

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Solution

The third proportional to 48,354 and 73,962 is: 113,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354 : 73,962 = 73,962 : x
  2. Step 2: Convert to fraction form
    48,354/73,962 = 73,962/x
  3. Step 3: Cross multiply
    48,354x = 73,962 × 73,962
  4. Step 4: Simplify right side
    48,354x = 5,470,377,444
  5. Step 5: Solve for x
    x = 5,470,377,444/48,354
  6. Step 6: Final answer
    x = 113,131.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.