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Finding the Third Proportional to 90,800 and 140,922

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Solution

The third proportional to 90,800 and 140,922 is: 218,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,800 : 140,922 = 140,922 : x
  2. Step 2: Convert to fraction form
    90,800/140,922 = 140,922/x
  3. Step 3: Cross multiply
    90,800x = 140,922 × 140,922
  4. Step 4: Simplify right side
    90,800x = 19,859,010,084
  5. Step 5: Solve for x
    x = 19,859,010,084/90,800
  6. Step 6: Final answer
    x = 218,711.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.