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Finding the Third Proportional to 60,413.74 and 132,446.98

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Solution

The third proportional to 60,413.74 and 132,446.98 is: 290,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,413.74 : 132,446.98 = 132,446.98 : x
  2. Step 2: Convert to fraction form
    60,413.74/132,446.98 = 132,446.98/x
  3. Step 3: Cross multiply
    60,413.74x = 132,446.98 × 132,446.98
  4. Step 4: Simplify right side
    60,413.74x = 17,542,203,540.69
  5. Step 5: Solve for x
    x = 17,542,203,540.69/60,413.74
  6. Step 6: Final answer
    x = 290,367.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.