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Finding the Third Proportional to 33,230 and 70,204

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Solution

The third proportional to 33,230 and 70,204 is: 148,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230 : 70,204 = 70,204 : x
  2. Step 2: Convert to fraction form
    33,230/70,204 = 70,204/x
  3. Step 3: Cross multiply
    33,230x = 70,204 × 70,204
  4. Step 4: Simplify right side
    33,230x = 4,928,601,616
  5. Step 5: Solve for x
    x = 4,928,601,616/33,230
  6. Step 6: Final answer
    x = 148,317.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.