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Finding the Third Proportional to 73,010.25 and 158,413.50

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Solution

The third proportional to 73,010.25 and 158,413.50 is: 343,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,010.25 : 158,413.50 = 158,413.50 : x
  2. Step 2: Convert to fraction form
    73,010.25/158,413.50 = 158,413.50/x
  3. Step 3: Cross multiply
    73,010.25x = 158,413.50 × 158,413.50
  4. Step 4: Simplify right side
    73,010.25x = 25,094,836,982.25
  5. Step 5: Solve for x
    x = 25,094,836,982.25/73,010.25
  6. Step 6: Final answer
    x = 343,716.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.