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Finding the Third Proportional to 54,016.97 and 81,770.77

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Solution

The third proportional to 54,016.97 and 81,770.77 is: 123,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016.97 : 81,770.77 = 81,770.77 : x
  2. Step 2: Convert to fraction form
    54,016.97/81,770.77 = 81,770.77/x
  3. Step 3: Cross multiply
    54,016.97x = 81,770.77 × 81,770.77
  4. Step 4: Simplify right side
    54,016.97x = 6,686,458,110.90
  5. Step 5: Solve for x
    x = 6,686,458,110.90/54,016.97
  6. Step 6: Final answer
    x = 123,784.40

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Why These Related Problems?

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