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Finding the Third Proportional to 41,880 and 88,080

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Solution

The third proportional to 41,880 and 88,080 is: 185,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880 : 88,080 = 88,080 : x
  2. Step 2: Convert to fraction form
    41,880/88,080 = 88,080/x
  3. Step 3: Cross multiply
    41,880x = 88,080 × 88,080
  4. Step 4: Simplify right side
    41,880x = 7,758,086,400
  5. Step 5: Solve for x
    x = 7,758,086,400/41,880
  6. Step 6: Final answer
    x = 185,245.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.