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Finding the Third Proportional to 33,243 and 73,227

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Solution

The third proportional to 33,243 and 73,227 is: 161,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243 : 73,227 = 73,227 : x
  2. Step 2: Convert to fraction form
    33,243/73,227 = 73,227/x
  3. Step 3: Cross multiply
    33,243x = 73,227 × 73,227
  4. Step 4: Simplify right side
    33,243x = 5,362,193,529
  5. Step 5: Solve for x
    x = 5,362,193,529/33,243
  6. Step 6: Final answer
    x = 161,302.94

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Why These Related Problems?

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