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Finding the Third Proportional to 43,662.38 and 81,195.75

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Solution

The third proportional to 43,662.38 and 81,195.75 is: 150,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662.38 : 81,195.75 = 81,195.75 : x
  2. Step 2: Convert to fraction form
    43,662.38/81,195.75 = 81,195.75/x
  3. Step 3: Cross multiply
    43,662.38x = 81,195.75 × 81,195.75
  4. Step 4: Simplify right side
    43,662.38x = 6,592,749,818.06
  5. Step 5: Solve for x
    x = 6,592,749,818.06/43,662.38
  6. Step 6: Final answer
    x = 150,993.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.