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Finding the Third Proportional to 54,018.75 and 81,773.38

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Solution

The third proportional to 54,018.75 and 81,773.38 is: 123,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,018.75 : 81,773.38 = 81,773.38 : x
  2. Step 2: Convert to fraction form
    54,018.75/81,773.38 = 81,773.38/x
  3. Step 3: Cross multiply
    54,018.75x = 81,773.38 × 81,773.38
  4. Step 4: Simplify right side
    54,018.75x = 6,686,884,858.89
  5. Step 5: Solve for x
    x = 6,686,884,858.89/54,018.75
  6. Step 6: Final answer
    x = 123,788.22

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