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Finding the Third Proportional to 33,250 and 72,049

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Solution

The third proportional to 33,250 and 72,049 is: 156,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 72,049 = 72,049 : x
  2. Step 2: Convert to fraction form
    33,250/72,049 = 72,049/x
  3. Step 3: Cross multiply
    33,250x = 72,049 × 72,049
  4. Step 4: Simplify right side
    33,250x = 5,191,058,401
  5. Step 5: Solve for x
    x = 5,191,058,401/33,250
  6. Step 6: Final answer
    x = 156,122.06

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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.