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Finding the Third Proportional to 126,767 and 188,206

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Solution

The third proportional to 126,767 and 188,206 is: 279,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,767 : 188,206 = 188,206 : x
  2. Step 2: Convert to fraction form
    126,767/188,206 = 188,206/x
  3. Step 3: Cross multiply
    126,767x = 188,206 × 188,206
  4. Step 4: Simplify right side
    126,767x = 35,421,498,436
  5. Step 5: Solve for x
    x = 35,421,498,436/126,767
  6. Step 6: Final answer
    x = 279,422.08

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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.