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Finding the Third Proportional to 45,181 and 96,589

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Solution

The third proportional to 45,181 and 96,589 is: 206,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,181 : 96,589 = 96,589 : x
  2. Step 2: Convert to fraction form
    45,181/96,589 = 96,589/x
  3. Step 3: Cross multiply
    45,181x = 96,589 × 96,589
  4. Step 4: Simplify right side
    45,181x = 9,329,434,921
  5. Step 5: Solve for x
    x = 9,329,434,921/45,181
  6. Step 6: Final answer
    x = 206,490.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.