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Finding the Third Proportional to 69,082 and 106,675

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Solution

The third proportional to 69,082 and 106,675 is: 164,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082 : 106,675 = 106,675 : x
  2. Step 2: Convert to fraction form
    69,082/106,675 = 106,675/x
  3. Step 3: Cross multiply
    69,082x = 106,675 × 106,675
  4. Step 4: Simplify right side
    69,082x = 11,379,555,625
  5. Step 5: Solve for x
    x = 11,379,555,625/69,082
  6. Step 6: Final answer
    x = 164,725.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.