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Finding the Third Proportional to 59,413.50 and 138,783.38

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Solution

The third proportional to 59,413.50 and 138,783.38 is: 324,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413.50 : 138,783.38 = 138,783.38 : x
  2. Step 2: Convert to fraction form
    59,413.50/138,783.38 = 138,783.38/x
  3. Step 3: Cross multiply
    59,413.50x = 138,783.38 × 138,783.38
  4. Step 4: Simplify right side
    59,413.50x = 19,260,825,176.39
  5. Step 5: Solve for x
    x = 19,260,825,176.39/59,413.50
  6. Step 6: Final answer
    x = 324,182.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.