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Finding the Third Proportional to 49,717.50 and 96,915

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Solution

The third proportional to 49,717.50 and 96,915 is: 188,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717.50 : 96,915 = 96,915 : x
  2. Step 2: Convert to fraction form
    49,717.50/96,915 = 96,915/x
  3. Step 3: Cross multiply
    49,717.50x = 96,915 × 96,915
  4. Step 4: Simplify right side
    49,717.50x = 9,392,517,225
  5. Step 5: Solve for x
    x = 9,392,517,225/49,717.50
  6. Step 6: Final answer
    x = 188,917.73

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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.