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Finding the Third Proportional to 54,736.25 and 82,496

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Solution

The third proportional to 54,736.25 and 82,496 is: 124,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736.25 : 82,496 = 82,496 : x
  2. Step 2: Convert to fraction form
    54,736.25/82,496 = 82,496/x
  3. Step 3: Cross multiply
    54,736.25x = 82,496 × 82,496
  4. Step 4: Simplify right side
    54,736.25x = 6,805,590,016
  5. Step 5: Solve for x
    x = 6,805,590,016/54,736.25
  6. Step 6: Final answer
    x = 124,334.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.