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Finding the Third Proportional to 126,251 and 194,043

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Solution

The third proportional to 126,251 and 194,043 is: 298,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,251 : 194,043 = 194,043 : x
  2. Step 2: Convert to fraction form
    126,251/194,043 = 194,043/x
  3. Step 3: Cross multiply
    126,251x = 194,043 × 194,043
  4. Step 4: Simplify right side
    126,251x = 37,652,685,849
  5. Step 5: Solve for x
    x = 37,652,685,849/126,251
  6. Step 6: Final answer
    x = 298,236.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.