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Finding the Third Proportional to 41,201 and 88,234

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Solution

The third proportional to 41,201 and 88,234 is: 188,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201 : 88,234 = 88,234 : x
  2. Step 2: Convert to fraction form
    41,201/88,234 = 88,234/x
  3. Step 3: Cross multiply
    41,201x = 88,234 × 88,234
  4. Step 4: Simplify right side
    41,201x = 7,785,238,756
  5. Step 5: Solve for x
    x = 7,785,238,756/41,201
  6. Step 6: Final answer
    x = 188,957.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.