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Finding the Third Proportional to 54,043 and 126,263

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Solution

The third proportional to 54,043 and 126,263 is: 294,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,043 : 126,263 = 126,263 : x
  2. Step 2: Convert to fraction form
    54,043/126,263 = 126,263/x
  3. Step 3: Cross multiply
    54,043x = 126,263 × 126,263
  4. Step 4: Simplify right side
    54,043x = 15,942,345,169
  5. Step 5: Solve for x
    x = 15,942,345,169/54,043
  6. Step 6: Final answer
    x = 294,993.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.