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Finding the Third Proportional to 33,261 and 71,799

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Solution

The third proportional to 33,261 and 71,799 is: 154,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261 : 71,799 = 71,799 : x
  2. Step 2: Convert to fraction form
    33,261/71,799 = 71,799/x
  3. Step 3: Cross multiply
    33,261x = 71,799 × 71,799
  4. Step 4: Simplify right side
    33,261x = 5,155,096,401
  5. Step 5: Solve for x
    x = 5,155,096,401/33,261
  6. Step 6: Final answer
    x = 154,989.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.