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Finding the Third Proportional to 126,052 and 188,190

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Solution

The third proportional to 126,052 and 188,190 is: 280,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052 : 188,190 = 188,190 : x
  2. Step 2: Convert to fraction form
    126,052/188,190 = 188,190/x
  3. Step 3: Cross multiply
    126,052x = 188,190 × 188,190
  4. Step 4: Simplify right side
    126,052x = 35,415,476,100
  5. Step 5: Solve for x
    x = 35,415,476,100/126,052
  6. Step 6: Final answer
    x = 280,959.26

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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.