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Finding the Third Proportional to 41,137 and 62,211

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Solution

The third proportional to 41,137 and 62,211 is: 94,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137 : 62,211 = 62,211 : x
  2. Step 2: Convert to fraction form
    41,137/62,211 = 62,211/x
  3. Step 3: Cross multiply
    41,137x = 62,211 × 62,211
  4. Step 4: Simplify right side
    41,137x = 3,870,208,521
  5. Step 5: Solve for x
    x = 3,870,208,521/41,137
  6. Step 6: Final answer
    x = 94,080.96

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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.