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Finding the Third Proportional to 49,743 and 96,948

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Solution

The third proportional to 49,743 and 96,948 is: 188,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,743 : 96,948 = 96,948 : x
  2. Step 2: Convert to fraction form
    49,743/96,948 = 96,948/x
  3. Step 3: Cross multiply
    49,743x = 96,948 × 96,948
  4. Step 4: Simplify right side
    49,743x = 9,398,914,704
  5. Step 5: Solve for x
    x = 9,398,914,704/49,743
  6. Step 6: Final answer
    x = 188,949.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.