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Finding the Third Proportional to 55,604.25 and 86,163.19

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Solution

The third proportional to 55,604.25 and 86,163.19 is: 133,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,604.25 : 86,163.19 = 86,163.19 : x
  2. Step 2: Convert to fraction form
    55,604.25/86,163.19 = 86,163.19/x
  3. Step 3: Cross multiply
    55,604.25x = 86,163.19 × 86,163.19
  4. Step 4: Simplify right side
    55,604.25x = 7,424,094,880.16
  5. Step 5: Solve for x
    x = 7,424,094,880.16/55,604.25
  6. Step 6: Final answer
    x = 133,516.68

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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.