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Finding the Third Proportional to 54,165 and 86,494.50

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Solution

The third proportional to 54,165 and 86,494.50 is: 138,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,165 : 86,494.50 = 86,494.50 : x
  2. Step 2: Convert to fraction form
    54,165/86,494.50 = 86,494.50/x
  3. Step 3: Cross multiply
    54,165x = 86,494.50 × 86,494.50
  4. Step 4: Simplify right side
    54,165x = 7,481,298,530.25
  5. Step 5: Solve for x
    x = 7,481,298,530.25/54,165
  6. Step 6: Final answer
    x = 138,120.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.