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Finding the Third Proportional to 69,204 and 151,611

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Solution

The third proportional to 69,204 and 151,611 is: 332,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204 : 151,611 = 151,611 : x
  2. Step 2: Convert to fraction form
    69,204/151,611 = 151,611/x
  3. Step 3: Cross multiply
    69,204x = 151,611 × 151,611
  4. Step 4: Simplify right side
    69,204x = 22,985,895,321
  5. Step 5: Solve for x
    x = 22,985,895,321/69,204
  6. Step 6: Final answer
    x = 332,146.92

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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.