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Finding the Third Proportional to 34,466 and 71,848

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Solution

The third proportional to 34,466 and 71,848 is: 149,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,466 : 71,848 = 71,848 : x
  2. Step 2: Convert to fraction form
    34,466/71,848 = 71,848/x
  3. Step 3: Cross multiply
    34,466x = 71,848 × 71,848
  4. Step 4: Simplify right side
    34,466x = 5,162,135,104
  5. Step 5: Solve for x
    x = 5,162,135,104/34,466
  6. Step 6: Final answer
    x = 149,774.71

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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.