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Finding the Third Proportional to 54,413.44 and 84,079.69

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Solution

The third proportional to 54,413.44 and 84,079.69 is: 129,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413.44 : 84,079.69 = 84,079.69 : x
  2. Step 2: Convert to fraction form
    54,413.44/84,079.69 = 84,079.69/x
  3. Step 3: Cross multiply
    54,413.44x = 84,079.69 × 84,079.69
  4. Step 4: Simplify right side
    54,413.44x = 7,069,393,850.10
  5. Step 5: Solve for x
    x = 7,069,393,850.10/54,413.44
  6. Step 6: Final answer
    x = 129,920.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.