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Finding the Third Proportional to 54,447.75 and 86,694.75

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Solution

The third proportional to 54,447.75 and 86,694.75 is: 138,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447.75 : 86,694.75 = 86,694.75 : x
  2. Step 2: Convert to fraction form
    54,447.75/86,694.75 = 86,694.75/x
  3. Step 3: Cross multiply
    54,447.75x = 86,694.75 × 86,694.75
  4. Step 4: Simplify right side
    54,447.75x = 7,515,979,677.56
  5. Step 5: Solve for x
    x = 7,515,979,677.56/54,447.75
  6. Step 6: Final answer
    x = 138,040.23

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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.