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Finding the Third Proportional to 86,791.44 and 135,261.56

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Solution

The third proportional to 86,791.44 and 135,261.56 is: 210,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,791.44 : 135,261.56 = 135,261.56 : x
  2. Step 2: Convert to fraction form
    86,791.44/135,261.56 = 135,261.56/x
  3. Step 3: Cross multiply
    86,791.44x = 135,261.56 × 135,261.56
  4. Step 4: Simplify right side
    86,791.44x = 18,295,690,289.94
  5. Step 5: Solve for x
    x = 18,295,690,289.94/86,791.44
  6. Step 6: Final answer
    x = 210,800.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.