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Finding the Third Proportional to 43,815 and 95,012

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Solution

The third proportional to 43,815 and 95,012 is: 206,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,815 : 95,012 = 95,012 : x
  2. Step 2: Convert to fraction form
    43,815/95,012 = 95,012/x
  3. Step 3: Cross multiply
    43,815x = 95,012 × 95,012
  4. Step 4: Simplify right side
    43,815x = 9,027,280,144
  5. Step 5: Solve for x
    x = 9,027,280,144/43,815
  6. Step 6: Final answer
    x = 206,031.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.