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Finding the Third Proportional to 126,054 and 188,193

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Solution

The third proportional to 126,054 and 188,193 is: 280,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,054 : 188,193 = 188,193 : x
  2. Step 2: Convert to fraction form
    126,054/188,193 = 188,193/x
  3. Step 3: Cross multiply
    126,054x = 188,193 × 188,193
  4. Step 4: Simplify right side
    126,054x = 35,416,605,249
  5. Step 5: Solve for x
    x = 35,416,605,249/126,054
  6. Step 6: Final answer
    x = 280,963.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.