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Finding the Third Proportional to 33,256 and 73,894

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Solution

The third proportional to 33,256 and 73,894 is: 164,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256 : 73,894 = 73,894 : x
  2. Step 2: Convert to fraction form
    33,256/73,894 = 73,894/x
  3. Step 3: Cross multiply
    33,256x = 73,894 × 73,894
  4. Step 4: Simplify right side
    33,256x = 5,460,323,236
  5. Step 5: Solve for x
    x = 5,460,323,236/33,256
  6. Step 6: Final answer
    x = 164,190.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.