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Finding the Third Proportional to 43,990 and 95,920

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Solution

The third proportional to 43,990 and 95,920 is: 209,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,990 : 95,920 = 95,920 : x
  2. Step 2: Convert to fraction form
    43,990/95,920 = 95,920/x
  3. Step 3: Cross multiply
    43,990x = 95,920 × 95,920
  4. Step 4: Simplify right side
    43,990x = 9,200,646,400
  5. Step 5: Solve for x
    x = 9,200,646,400/43,990
  6. Step 6: Final answer
    x = 209,153.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.