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Finding the Third Proportional to 73,843 and 158,186

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Solution

The third proportional to 73,843 and 158,186 is: 338,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,843 : 158,186 = 158,186 : x
  2. Step 2: Convert to fraction form
    73,843/158,186 = 158,186/x
  3. Step 3: Cross multiply
    73,843x = 158,186 × 158,186
  4. Step 4: Simplify right side
    73,843x = 25,022,810,596
  5. Step 5: Solve for x
    x = 25,022,810,596/73,843
  6. Step 6: Final answer
    x = 338,865.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.