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Finding the Third Proportional to 45,121.50 and 91,338.75

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Solution

The third proportional to 45,121.50 and 91,338.75 is: 184,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,121.50 : 91,338.75 = 91,338.75 : x
  2. Step 2: Convert to fraction form
    45,121.50/91,338.75 = 91,338.75/x
  3. Step 3: Cross multiply
    45,121.50x = 91,338.75 × 91,338.75
  4. Step 4: Simplify right side
    45,121.50x = 8,342,767,251.56
  5. Step 5: Solve for x
    x = 8,342,767,251.56/45,121.50
  6. Step 6: Final answer
    x = 184,895.61

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.