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Finding the Third Proportional to 33,233 and 70,219

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Solution

The third proportional to 33,233 and 70,219 is: 148,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233 : 70,219 = 70,219 : x
  2. Step 2: Convert to fraction form
    33,233/70,219 = 70,219/x
  3. Step 3: Cross multiply
    33,233x = 70,219 × 70,219
  4. Step 4: Simplify right side
    33,233x = 4,930,707,961
  5. Step 5: Solve for x
    x = 4,930,707,961/33,233
  6. Step 6: Final answer
    x = 148,367.83

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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.