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Finding the Third Proportional to 54,268 and 86,324

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Solution

The third proportional to 54,268 and 86,324 is: 137,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,268 : 86,324 = 86,324 : x
  2. Step 2: Convert to fraction form
    54,268/86,324 = 86,324/x
  3. Step 3: Cross multiply
    54,268x = 86,324 × 86,324
  4. Step 4: Simplify right side
    54,268x = 7,451,832,976
  5. Step 5: Solve for x
    x = 7,451,832,976/54,268
  6. Step 6: Final answer
    x = 137,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.