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Finding the Third Proportional to 126,036 and 189,054

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Solution

The third proportional to 126,036 and 189,054 is: 283,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,036 : 189,054 = 189,054 : x
  2. Step 2: Convert to fraction form
    126,036/189,054 = 189,054/x
  3. Step 3: Cross multiply
    126,036x = 189,054 × 189,054
  4. Step 4: Simplify right side
    126,036x = 35,741,414,916
  5. Step 5: Solve for x
    x = 35,741,414,916/126,036
  6. Step 6: Final answer
    x = 283,581

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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.