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Finding the Third Proportional to 67,586 and 100,824

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Solution

The third proportional to 67,586 and 100,824 is: 150,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,586 : 100,824 = 100,824 : x
  2. Step 2: Convert to fraction form
    67,586/100,824 = 100,824/x
  3. Step 3: Cross multiply
    67,586x = 100,824 × 100,824
  4. Step 4: Simplify right side
    67,586x = 10,165,478,976
  5. Step 5: Solve for x
    x = 10,165,478,976/67,586
  6. Step 6: Final answer
    x = 150,408.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.