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Finding the Third Proportional to 54,324 and 82,593

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Solution

The third proportional to 54,324 and 82,593 is: 125,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 82,593 = 82,593 : x
  2. Step 2: Convert to fraction form
    54,324/82,593 = 82,593/x
  3. Step 3: Cross multiply
    54,324x = 82,593 × 82,593
  4. Step 4: Simplify right side
    54,324x = 6,821,603,649
  5. Step 5: Solve for x
    x = 6,821,603,649/54,324
  6. Step 6: Final answer
    x = 125,572.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.