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Finding the Third Proportional to 54,249.75 and 83,991.94

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Solution

The third proportional to 54,249.75 and 83,991.94 is: 130,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,249.75 : 83,991.94 = 83,991.94 : x
  2. Step 2: Convert to fraction form
    54,249.75/83,991.94 = 83,991.94/x
  3. Step 3: Cross multiply
    54,249.75x = 83,991.94 × 83,991.94
  4. Step 4: Simplify right side
    54,249.75x = 7,054,645,565.00
  5. Step 5: Solve for x
    x = 7,054,645,565.00/54,249.75
  6. Step 6: Final answer
    x = 130,040.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.