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Finding the Third Proportional to 55,674 and 86,103

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Solution

The third proportional to 55,674 and 86,103 is: 133,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,674 : 86,103 = 86,103 : x
  2. Step 2: Convert to fraction form
    55,674/86,103 = 86,103/x
  3. Step 3: Cross multiply
    55,674x = 86,103 × 86,103
  4. Step 4: Simplify right side
    55,674x = 7,413,726,609
  5. Step 5: Solve for x
    x = 7,413,726,609/55,674
  6. Step 6: Final answer
    x = 133,163.18

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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.