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Finding the Third Proportional to 34,661 and 75,919

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Solution

The third proportional to 34,661 and 75,919 is: 166,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661 : 75,919 = 75,919 : x
  2. Step 2: Convert to fraction form
    34,661/75,919 = 75,919/x
  3. Step 3: Cross multiply
    34,661x = 75,919 × 75,919
  4. Step 4: Simplify right side
    34,661x = 5,763,694,561
  5. Step 5: Solve for x
    x = 5,763,694,561/34,661
  6. Step 6: Final answer
    x = 166,287.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.