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Finding the Third Proportional to 121,413.94 and 183,814.31

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Solution

The third proportional to 121,413.94 and 183,814.31 is: 278,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.94 : 183,814.31 = 183,814.31 : x
  2. Step 2: Convert to fraction form
    121,413.94/183,814.31 = 183,814.31/x
  3. Step 3: Cross multiply
    121,413.94x = 183,814.31 × 183,814.31
  4. Step 4: Simplify right side
    121,413.94x = 33,787,701,479.85
  5. Step 5: Solve for x
    x = 33,787,701,479.85/121,413.94
  6. Step 6: Final answer
    x = 278,285.20

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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.