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Finding the Third Proportional to 106,500 and 166,986

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Solution

The third proportional to 106,500 and 166,986 is: 261,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500 : 166,986 = 166,986 : x
  2. Step 2: Convert to fraction form
    106,500/166,986 = 166,986/x
  3. Step 3: Cross multiply
    106,500x = 166,986 × 166,986
  4. Step 4: Simplify right side
    106,500x = 27,884,324,196
  5. Step 5: Solve for x
    x = 27,884,324,196/106,500
  6. Step 6: Final answer
    x = 261,824.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.