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Finding the Third Proportional to 45,867 and 95,895

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Solution

The third proportional to 45,867 and 95,895 is: 200,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867 : 95,895 = 95,895 : x
  2. Step 2: Convert to fraction form
    45,867/95,895 = 95,895/x
  3. Step 3: Cross multiply
    45,867x = 95,895 × 95,895
  4. Step 4: Simplify right side
    45,867x = 9,195,851,025
  5. Step 5: Solve for x
    x = 9,195,851,025/45,867
  6. Step 6: Final answer
    x = 200,489.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.