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Finding the Third Proportional to 86,274 and 134,067

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Solution

The third proportional to 86,274 and 134,067 is: 208,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,274 : 134,067 = 134,067 : x
  2. Step 2: Convert to fraction form
    86,274/134,067 = 134,067/x
  3. Step 3: Cross multiply
    86,274x = 134,067 × 134,067
  4. Step 4: Simplify right side
    86,274x = 17,973,960,489
  5. Step 5: Solve for x
    x = 17,973,960,489/86,274
  6. Step 6: Final answer
    x = 208,335.77

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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.