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Finding the Third Proportional to 106,860 and 166,338

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Solution

The third proportional to 106,860 and 166,338 is: 258,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,860 : 166,338 = 166,338 : x
  2. Step 2: Convert to fraction form
    106,860/166,338 = 166,338/x
  3. Step 3: Cross multiply
    106,860x = 166,338 × 166,338
  4. Step 4: Simplify right side
    106,860x = 27,668,330,244
  5. Step 5: Solve for x
    x = 27,668,330,244/106,860
  6. Step 6: Final answer
    x = 258,921.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.