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Finding the Third Proportional to 43,745.75 and 90,251.75

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Solution

The third proportional to 43,745.75 and 90,251.75 is: 186,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,745.75 : 90,251.75 = 90,251.75 : x
  2. Step 2: Convert to fraction form
    43,745.75/90,251.75 = 90,251.75/x
  3. Step 3: Cross multiply
    43,745.75x = 90,251.75 × 90,251.75
  4. Step 4: Simplify right side
    43,745.75x = 8,145,378,378.06
  5. Step 5: Solve for x
    x = 8,145,378,378.06/43,745.75
  6. Step 6: Final answer
    x = 186,198.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.