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Finding the Third Proportional to 43,731 and 95,868

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Solution

The third proportional to 43,731 and 95,868 is: 210,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,731 : 95,868 = 95,868 : x
  2. Step 2: Convert to fraction form
    43,731/95,868 = 95,868/x
  3. Step 3: Cross multiply
    43,731x = 95,868 × 95,868
  4. Step 4: Simplify right side
    43,731x = 9,190,673,424
  5. Step 5: Solve for x
    x = 9,190,673,424/43,731
  6. Step 6: Final answer
    x = 210,163.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.