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Finding the Third Proportional to 54,731 and 112,378

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Solution

The third proportional to 54,731 and 112,378 is: 230,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,731 : 112,378 = 112,378 : x
  2. Step 2: Convert to fraction form
    54,731/112,378 = 112,378/x
  3. Step 3: Cross multiply
    54,731x = 112,378 × 112,378
  4. Step 4: Simplify right side
    54,731x = 12,628,814,884
  5. Step 5: Solve for x
    x = 12,628,814,884/54,731
  6. Step 6: Final answer
    x = 230,743.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.