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Finding the Third Proportional to 106,896 and 166,164

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Solution

The third proportional to 106,896 and 166,164 is: 258,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896 : 166,164 = 166,164 : x
  2. Step 2: Convert to fraction form
    106,896/166,164 = 166,164/x
  3. Step 3: Cross multiply
    106,896x = 166,164 × 166,164
  4. Step 4: Simplify right side
    106,896x = 27,610,474,896
  5. Step 5: Solve for x
    x = 27,610,474,896/106,896
  6. Step 6: Final answer
    x = 258,292.87

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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.