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Finding the Third Proportional to 41,121 and 88,073

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Solution

The third proportional to 41,121 and 88,073 is: 188,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,121 : 88,073 = 88,073 : x
  2. Step 2: Convert to fraction form
    41,121/88,073 = 88,073/x
  3. Step 3: Cross multiply
    41,121x = 88,073 × 88,073
  4. Step 4: Simplify right side
    41,121x = 7,756,853,329
  5. Step 5: Solve for x
    x = 7,756,853,329/41,121
  6. Step 6: Final answer
    x = 188,634.84

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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.