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Finding the Third Proportional to 54,016.88 and 81,770.63

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Solution

The third proportional to 54,016.88 and 81,770.63 is: 123,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016.88 : 81,770.63 = 81,770.63 : x
  2. Step 2: Convert to fraction form
    54,016.88/81,770.63 = 81,770.63/x
  3. Step 3: Cross multiply
    54,016.88x = 81,770.63 × 81,770.63
  4. Step 4: Simplify right side
    54,016.88x = 6,686,435,112.89
  5. Step 5: Solve for x
    x = 6,686,435,112.89/54,016.88
  6. Step 6: Final answer
    x = 123,784.19

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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.