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Finding the Third Proportional to 54,493 and 83,324

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Solution

The third proportional to 54,493 and 83,324 is: 127,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493 : 83,324 = 83,324 : x
  2. Step 2: Convert to fraction form
    54,493/83,324 = 83,324/x
  3. Step 3: Cross multiply
    54,493x = 83,324 × 83,324
  4. Step 4: Simplify right side
    54,493x = 6,942,888,976
  5. Step 5: Solve for x
    x = 6,942,888,976/54,493
  6. Step 6: Final answer
    x = 127,408.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.