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Finding the Third Proportional to 54,197 and 72,493

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Solution

The third proportional to 54,197 and 72,493 is: 96,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197 : 72,493 = 72,493 : x
  2. Step 2: Convert to fraction form
    54,197/72,493 = 72,493/x
  3. Step 3: Cross multiply
    54,197x = 72,493 × 72,493
  4. Step 4: Simplify right side
    54,197x = 5,255,235,049
  5. Step 5: Solve for x
    x = 5,255,235,049/54,197
  6. Step 6: Final answer
    x = 96,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.