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Finding the Third Proportional to 40,263 and 86,067

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Solution

The third proportional to 40,263 and 86,067 is: 183,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,263 : 86,067 = 86,067 : x
  2. Step 2: Convert to fraction form
    40,263/86,067 = 86,067/x
  3. Step 3: Cross multiply
    40,263x = 86,067 × 86,067
  4. Step 4: Simplify right side
    40,263x = 7,407,528,489
  5. Step 5: Solve for x
    x = 7,407,528,489/40,263
  6. Step 6: Final answer
    x = 183,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.