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Finding the Third Proportional to 43,540 and 96,794

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Solution

The third proportional to 43,540 and 96,794 is: 215,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,540 : 96,794 = 96,794 : x
  2. Step 2: Convert to fraction form
    43,540/96,794 = 96,794/x
  3. Step 3: Cross multiply
    43,540x = 96,794 × 96,794
  4. Step 4: Simplify right side
    43,540x = 9,369,078,436
  5. Step 5: Solve for x
    x = 9,369,078,436/43,540
  6. Step 6: Final answer
    x = 215,183.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.