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Finding the Third Proportional to 67,184 and 100,425

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Solution

The third proportional to 67,184 and 100,425 is: 150,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184 : 100,425 = 100,425 : x
  2. Step 2: Convert to fraction form
    67,184/100,425 = 100,425/x
  3. Step 3: Cross multiply
    67,184x = 100,425 × 100,425
  4. Step 4: Simplify right side
    67,184x = 10,085,180,625
  5. Step 5: Solve for x
    x = 10,085,180,625/67,184
  6. Step 6: Final answer
    x = 150,112.83

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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.