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Finding the Third Proportional to 67,611 and 106,059

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Solution

The third proportional to 67,611 and 106,059 is: 166,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,611 : 106,059 = 106,059 : x
  2. Step 2: Convert to fraction form
    67,611/106,059 = 106,059/x
  3. Step 3: Cross multiply
    67,611x = 106,059 × 106,059
  4. Step 4: Simplify right side
    67,611x = 11,248,511,481
  5. Step 5: Solve for x
    x = 11,248,511,481/67,611
  6. Step 6: Final answer
    x = 166,371.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.