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Finding the Third Proportional to 33,381 and 73,333

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Solution

The third proportional to 33,381 and 73,333 is: 161,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 73,333 = 73,333 : x
  2. Step 2: Convert to fraction form
    33,381/73,333 = 73,333/x
  3. Step 3: Cross multiply
    33,381x = 73,333 × 73,333
  4. Step 4: Simplify right side
    33,381x = 5,377,728,889
  5. Step 5: Solve for x
    x = 5,377,728,889/33,381
  6. Step 6: Final answer
    x = 161,101.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.