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Finding the Third Proportional to 54,583.50 and 86,797.25

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Solution

The third proportional to 54,583.50 and 86,797.25 is: 138,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.50 : 86,797.25 = 86,797.25 : x
  2. Step 2: Convert to fraction form
    54,583.50/86,797.25 = 86,797.25/x
  3. Step 3: Cross multiply
    54,583.50x = 86,797.25 × 86,797.25
  4. Step 4: Simplify right side
    54,583.50x = 7,533,762,607.56
  5. Step 5: Solve for x
    x = 7,533,762,607.56/54,583.50
  6. Step 6: Final answer
    x = 138,022.71

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