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Finding the Third Proportional to 117,546.75 and 177,413.25

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Solution

The third proportional to 117,546.75 and 177,413.25 is: 267,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546.75 : 177,413.25 = 177,413.25 : x
  2. Step 2: Convert to fraction form
    117,546.75/177,413.25 = 177,413.25/x
  3. Step 3: Cross multiply
    117,546.75x = 177,413.25 × 177,413.25
  4. Step 4: Simplify right side
    117,546.75x = 31,475,461,275.56
  5. Step 5: Solve for x
    x = 31,475,461,275.56/117,546.75
  6. Step 6: Final answer
    x = 267,769.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.