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Finding the Third Proportional to 73,162 and 108,195

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Solution

The third proportional to 73,162 and 108,195 is: 160,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,162 : 108,195 = 108,195 : x
  2. Step 2: Convert to fraction form
    73,162/108,195 = 108,195/x
  3. Step 3: Cross multiply
    73,162x = 108,195 × 108,195
  4. Step 4: Simplify right side
    73,162x = 11,706,158,025
  5. Step 5: Solve for x
    x = 11,706,158,025/73,162
  6. Step 6: Final answer
    x = 160,003.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.