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Finding the Third Proportional to 106,857 and 166,119

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Solution

The third proportional to 106,857 and 166,119 is: 258,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,857 : 166,119 = 166,119 : x
  2. Step 2: Convert to fraction form
    106,857/166,119 = 166,119/x
  3. Step 3: Cross multiply
    106,857x = 166,119 × 166,119
  4. Step 4: Simplify right side
    106,857x = 27,595,522,161
  5. Step 5: Solve for x
    x = 27,595,522,161/106,857
  6. Step 6: Final answer
    x = 258,247.21

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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.