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Finding the Third Proportional to 126,138 and 189,738

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Solution

The third proportional to 126,138 and 189,738 is: 285,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,138 : 189,738 = 189,738 : x
  2. Step 2: Convert to fraction form
    126,138/189,738 = 189,738/x
  3. Step 3: Cross multiply
    126,138x = 189,738 × 189,738
  4. Step 4: Simplify right side
    126,138x = 36,000,508,644
  5. Step 5: Solve for x
    x = 36,000,508,644/126,138
  6. Step 6: Final answer
    x = 285,405.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.