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Finding the Third Proportional to 33,231 and 70,215

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Solution

The third proportional to 33,231 and 70,215 is: 148,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231 : 70,215 = 70,215 : x
  2. Step 2: Convert to fraction form
    33,231/70,215 = 70,215/x
  3. Step 3: Cross multiply
    33,231x = 70,215 × 70,215
  4. Step 4: Simplify right side
    33,231x = 4,930,146,225
  5. Step 5: Solve for x
    x = 4,930,146,225/33,231
  6. Step 6: Final answer
    x = 148,359.85

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