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Finding the Third Proportional to 41,203 and 88,238

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Solution

The third proportional to 41,203 and 88,238 is: 188,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203 : 88,238 = 88,238 : x
  2. Step 2: Convert to fraction form
    41,203/88,238 = 88,238/x
  3. Step 3: Cross multiply
    41,203x = 88,238 × 88,238
  4. Step 4: Simplify right side
    41,203x = 7,785,944,644
  5. Step 5: Solve for x
    x = 7,785,944,644/41,203
  6. Step 6: Final answer
    x = 188,965.48

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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.