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Finding the Third Proportional to 106,898 and 166,167

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Solution

The third proportional to 106,898 and 166,167 is: 258,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898 : 166,167 = 166,167 : x
  2. Step 2: Convert to fraction form
    106,898/166,167 = 166,167/x
  3. Step 3: Cross multiply
    106,898x = 166,167 × 166,167
  4. Step 4: Simplify right side
    106,898x = 27,611,471,889
  5. Step 5: Solve for x
    x = 27,611,471,889/106,898
  6. Step 6: Final answer
    x = 258,297.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.