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Finding the Third Proportional to 85,163.06 and 132,241.78

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Solution

The third proportional to 85,163.06 and 132,241.78 is: 205,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163.06 : 132,241.78 = 132,241.78 : x
  2. Step 2: Convert to fraction form
    85,163.06/132,241.78 = 132,241.78/x
  3. Step 3: Cross multiply
    85,163.06x = 132,241.78 × 132,241.78
  4. Step 4: Simplify right side
    85,163.06x = 17,487,888,708.17
  5. Step 5: Solve for x
    x = 17,487,888,708.17/85,163.06
  6. Step 6: Final answer
    x = 205,345.94

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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.