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Finding the Third Proportional to 34,661 and 75,149

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Solution

The third proportional to 34,661 and 75,149 is: 162,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661 : 75,149 = 75,149 : x
  2. Step 2: Convert to fraction form
    34,661/75,149 = 75,149/x
  3. Step 3: Cross multiply
    34,661x = 75,149 × 75,149
  4. Step 4: Simplify right side
    34,661x = 5,647,372,201
  5. Step 5: Solve for x
    x = 5,647,372,201/34,661
  6. Step 6: Final answer
    x = 162,931.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.