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Finding the Third Proportional to 49,234.50 and 100,272.75

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Solution

The third proportional to 49,234.50 and 100,272.75 is: 204,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234.50 : 100,272.75 = 100,272.75 : x
  2. Step 2: Convert to fraction form
    49,234.50/100,272.75 = 100,272.75/x
  3. Step 3: Cross multiply
    49,234.50x = 100,272.75 × 100,272.75
  4. Step 4: Simplify right side
    49,234.50x = 10,054,624,392.56
  5. Step 5: Solve for x
    x = 10,054,624,392.56/49,234.50
  6. Step 6: Final answer
    x = 204,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.