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Finding the Third Proportional to 132,267 and 189,067

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Solution

The third proportional to 132,267 and 189,067 is: 270,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,267 : 189,067 = 189,067 : x
  2. Step 2: Convert to fraction form
    132,267/189,067 = 189,067/x
  3. Step 3: Cross multiply
    132,267x = 189,067 × 189,067
  4. Step 4: Simplify right side
    132,267x = 35,746,330,489
  5. Step 5: Solve for x
    x = 35,746,330,489/132,267
  6. Step 6: Final answer
    x = 270,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.