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Finding the Third Proportional to 50,920 and 111,880

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Solution

The third proportional to 50,920 and 111,880 is: 245,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,920 : 111,880 = 111,880 : x
  2. Step 2: Convert to fraction form
    50,920/111,880 = 111,880/x
  3. Step 3: Cross multiply
    50,920x = 111,880 × 111,880
  4. Step 4: Simplify right side
    50,920x = 12,517,134,400
  5. Step 5: Solve for x
    x = 12,517,134,400/50,920
  6. Step 6: Final answer
    x = 245,819.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.