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Finding the Third Proportional to 84,786.75 and 131,163.75

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Solution

The third proportional to 84,786.75 and 131,163.75 is: 202,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.75 : 131,163.75 = 131,163.75 : x
  2. Step 2: Convert to fraction form
    84,786.75/131,163.75 = 131,163.75/x
  3. Step 3: Cross multiply
    84,786.75x = 131,163.75 × 131,163.75
  4. Step 4: Simplify right side
    84,786.75x = 17,203,929,314.06
  5. Step 5: Solve for x
    x = 17,203,929,314.06/84,786.75
  6. Step 6: Final answer
    x = 202,908.23

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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.