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Finding the Third Proportional to 33,954 and 73,540

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Solution

The third proportional to 33,954 and 73,540 is: 159,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 73,540 = 73,540 : x
  2. Step 2: Convert to fraction form
    33,954/73,540 = 73,540/x
  3. Step 3: Cross multiply
    33,954x = 73,540 × 73,540
  4. Step 4: Simplify right side
    33,954x = 5,408,131,600
  5. Step 5: Solve for x
    x = 5,408,131,600/33,954
  6. Step 6: Final answer
    x = 159,278.19

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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.