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Finding the Third Proportional to 41,039 and 88,208

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Solution

The third proportional to 41,039 and 88,208 is: 189,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,039 : 88,208 = 88,208 : x
  2. Step 2: Convert to fraction form
    41,039/88,208 = 88,208/x
  3. Step 3: Cross multiply
    41,039x = 88,208 × 88,208
  4. Step 4: Simplify right side
    41,039x = 7,780,651,264
  5. Step 5: Solve for x
    x = 7,780,651,264/41,039
  6. Step 6: Final answer
    x = 189,591.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.