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Finding the Third Proportional to 137,069.09 and 204,467.41

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Solution

The third proportional to 137,069.09 and 204,467.41 is: 305,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,069.09 : 204,467.41 = 204,467.41 : x
  2. Step 2: Convert to fraction form
    137,069.09/204,467.41 = 204,467.41/x
  3. Step 3: Cross multiply
    137,069.09x = 204,467.41 × 204,467.41
  4. Step 4: Simplify right side
    137,069.09x = 41,806,923,413.41
  5. Step 5: Solve for x
    x = 41,806,923,413.41/137,069.09
  6. Step 6: Final answer
    x = 305,006.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.