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Finding the Third Proportional to 43,714 and 95,993

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Solution

The third proportional to 43,714 and 95,993 is: 210,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714 : 95,993 = 95,993 : x
  2. Step 2: Convert to fraction form
    43,714/95,993 = 95,993/x
  3. Step 3: Cross multiply
    43,714x = 95,993 × 95,993
  4. Step 4: Simplify right side
    43,714x = 9,214,656,049
  5. Step 5: Solve for x
    x = 9,214,656,049/43,714
  6. Step 6: Final answer
    x = 210,794.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.