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Finding the Third Proportional to 33,229 and 70,211

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Solution

The third proportional to 33,229 and 70,211 is: 148,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229 : 70,211 = 70,211 : x
  2. Step 2: Convert to fraction form
    33,229/70,211 = 70,211/x
  3. Step 3: Cross multiply
    33,229x = 70,211 × 70,211
  4. Step 4: Simplify right side
    33,229x = 4,929,584,521
  5. Step 5: Solve for x
    x = 4,929,584,521/33,229
  6. Step 6: Final answer
    x = 148,351.88

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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.