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Finding the Third Proportional to 33,678 and 73,269

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Solution

The third proportional to 33,678 and 73,269 is: 159,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 73,269 = 73,269 : x
  2. Step 2: Convert to fraction form
    33,678/73,269 = 73,269/x
  3. Step 3: Cross multiply
    33,678x = 73,269 × 73,269
  4. Step 4: Simplify right side
    33,678x = 5,368,346,361
  5. Step 5: Solve for x
    x = 5,368,346,361/33,678
  6. Step 6: Final answer
    x = 159,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.