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Finding the Third Proportional to 69,512 and 151,766

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Solution

The third proportional to 69,512 and 151,766 is: 331,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,512 : 151,766 = 151,766 : x
  2. Step 2: Convert to fraction form
    69,512/151,766 = 151,766/x
  3. Step 3: Cross multiply
    69,512x = 151,766 × 151,766
  4. Step 4: Simplify right side
    69,512x = 23,032,918,756
  5. Step 5: Solve for x
    x = 23,032,918,756/69,512
  6. Step 6: Final answer
    x = 331,351.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.