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Finding the Third Proportional to 67,625 and 106,079

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Solution

The third proportional to 67,625 and 106,079 is: 166,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,625 : 106,079 = 106,079 : x
  2. Step 2: Convert to fraction form
    67,625/106,079 = 106,079/x
  3. Step 3: Cross multiply
    67,625x = 106,079 × 106,079
  4. Step 4: Simplify right side
    67,625x = 11,252,754,241
  5. Step 5: Solve for x
    x = 11,252,754,241/67,625
  6. Step 6: Final answer
    x = 166,399.32

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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.