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Finding the Third Proportional to 34,511 and 71,227

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Solution

The third proportional to 34,511 and 71,227 is: 147,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511 : 71,227 = 71,227 : x
  2. Step 2: Convert to fraction form
    34,511/71,227 = 71,227/x
  3. Step 3: Cross multiply
    34,511x = 71,227 × 71,227
  4. Step 4: Simplify right side
    34,511x = 5,073,285,529
  5. Step 5: Solve for x
    x = 5,073,285,529/34,511
  6. Step 6: Final answer
    x = 147,004.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.