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Finding the Third Proportional to 49,729.50 and 96,939

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Solution

The third proportional to 49,729.50 and 96,939 is: 188,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729.50 : 96,939 = 96,939 : x
  2. Step 2: Convert to fraction form
    49,729.50/96,939 = 96,939/x
  3. Step 3: Cross multiply
    49,729.50x = 96,939 × 96,939
  4. Step 4: Simplify right side
    49,729.50x = 9,397,169,721
  5. Step 5: Solve for x
    x = 9,397,169,721/49,729.50
  6. Step 6: Final answer
    x = 188,965.70

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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.