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Finding the Third Proportional to 57,413.50 and 123,131.50

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Solution

The third proportional to 57,413.50 and 123,131.50 is: 264,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413.50 : 123,131.50 = 123,131.50 : x
  2. Step 2: Convert to fraction form
    57,413.50/123,131.50 = 123,131.50/x
  3. Step 3: Cross multiply
    57,413.50x = 123,131.50 × 123,131.50
  4. Step 4: Simplify right side
    57,413.50x = 15,161,366,292.25
  5. Step 5: Solve for x
    x = 15,161,366,292.25/57,413.50
  6. Step 6: Final answer
    x = 264,073.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.