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Finding the Third Proportional to 68,413.50 and 147,015

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Solution

The third proportional to 68,413.50 and 147,015 is: 315,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,413.50 : 147,015 = 147,015 : x
  2. Step 2: Convert to fraction form
    68,413.50/147,015 = 147,015/x
  3. Step 3: Cross multiply
    68,413.50x = 147,015 × 147,015
  4. Step 4: Simplify right side
    68,413.50x = 21,613,410,225
  5. Step 5: Solve for x
    x = 21,613,410,225/68,413.50
  6. Step 6: Final answer
    x = 315,923.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.