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Finding the Third Proportional to 34,467 and 71,850

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Solution

The third proportional to 34,467 and 71,850 is: 149,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467 : 71,850 = 71,850 : x
  2. Step 2: Convert to fraction form
    34,467/71,850 = 71,850/x
  3. Step 3: Cross multiply
    34,467x = 71,850 × 71,850
  4. Step 4: Simplify right side
    34,467x = 5,162,422,500
  5. Step 5: Solve for x
    x = 5,162,422,500/34,467
  6. Step 6: Final answer
    x = 149,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.