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Finding the Third Proportional to 40,462 and 86,027

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Solution

The third proportional to 40,462 and 86,027 is: 182,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,462 : 86,027 = 86,027 : x
  2. Step 2: Convert to fraction form
    40,462/86,027 = 86,027/x
  3. Step 3: Cross multiply
    40,462x = 86,027 × 86,027
  4. Step 4: Simplify right side
    40,462x = 7,400,644,729
  5. Step 5: Solve for x
    x = 7,400,644,729/40,462
  6. Step 6: Final answer
    x = 182,903.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.