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Finding the Third Proportional to 34,849 and 75,266

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Solution

The third proportional to 34,849 and 75,266 is: 162,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,849 : 75,266 = 75,266 : x
  2. Step 2: Convert to fraction form
    34,849/75,266 = 75,266/x
  3. Step 3: Cross multiply
    34,849x = 75,266 × 75,266
  4. Step 4: Simplify right side
    34,849x = 5,664,970,756
  5. Step 5: Solve for x
    x = 5,664,970,756/34,849
  6. Step 6: Final answer
    x = 162,557.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.