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Finding the Third Proportional to 41,168 and 88,582

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Solution

The third proportional to 41,168 and 88,582 is: 190,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,168 : 88,582 = 88,582 : x
  2. Step 2: Convert to fraction form
    41,168/88,582 = 88,582/x
  3. Step 3: Cross multiply
    41,168x = 88,582 × 88,582
  4. Step 4: Simplify right side
    41,168x = 7,846,770,724
  5. Step 5: Solve for x
    x = 7,846,770,724/41,168
  6. Step 6: Final answer
    x = 190,603.64

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