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Finding the Third Proportional to 49,107 and 73,578.75

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Solution

The third proportional to 49,107 and 73,578.75 is: 110,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107 : 73,578.75 = 73,578.75 : x
  2. Step 2: Convert to fraction form
    49,107/73,578.75 = 73,578.75/x
  3. Step 3: Cross multiply
    49,107x = 73,578.75 × 73,578.75
  4. Step 4: Simplify right side
    49,107x = 5,413,832,451.56
  5. Step 5: Solve for x
    x = 5,413,832,451.56/49,107
  6. Step 6: Final answer
    x = 110,245.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.