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Finding the Third Proportional to 41,672 and 90,968

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Solution

The third proportional to 41,672 and 90,968 is: 198,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672 : 90,968 = 90,968 : x
  2. Step 2: Convert to fraction form
    41,672/90,968 = 90,968/x
  3. Step 3: Cross multiply
    41,672x = 90,968 × 90,968
  4. Step 4: Simplify right side
    41,672x = 8,275,177,024
  5. Step 5: Solve for x
    x = 8,275,177,024/41,672
  6. Step 6: Final answer
    x = 198,578.83

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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.