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Finding the Third Proportional to 41,474 and 88,867

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Solution

The third proportional to 41,474 and 88,867 is: 190,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474 : 88,867 = 88,867 : x
  2. Step 2: Convert to fraction form
    41,474/88,867 = 88,867/x
  3. Step 3: Cross multiply
    41,474x = 88,867 × 88,867
  4. Step 4: Simplify right side
    41,474x = 7,897,343,689
  5. Step 5: Solve for x
    x = 7,897,343,689/41,474
  6. Step 6: Final answer
    x = 190,416.74

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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.