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Finding the Third Proportional to 41,137 and 89,888

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Solution

The third proportional to 41,137 and 89,888 is: 196,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137 : 89,888 = 89,888 : x
  2. Step 2: Convert to fraction form
    41,137/89,888 = 89,888/x
  3. Step 3: Cross multiply
    41,137x = 89,888 × 89,888
  4. Step 4: Simplify right side
    41,137x = 8,079,852,544
  5. Step 5: Solve for x
    x = 8,079,852,544/41,137
  6. Step 6: Final answer
    x = 196,413.27

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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.