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Finding the Third Proportional to 41,175 and 89,880

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Solution

The third proportional to 41,175 and 89,880 is: 196,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,175 : 89,880 = 89,880 : x
  2. Step 2: Convert to fraction form
    41,175/89,880 = 89,880/x
  3. Step 3: Cross multiply
    41,175x = 89,880 × 89,880
  4. Step 4: Simplify right side
    41,175x = 8,078,414,400
  5. Step 5: Solve for x
    x = 8,078,414,400/41,175
  6. Step 6: Final answer
    x = 196,197.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.