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Finding the Third Proportional to 68,224 and 149,982

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Solution

The third proportional to 68,224 and 149,982 is: 329,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224 : 149,982 = 149,982 : x
  2. Step 2: Convert to fraction form
    68,224/149,982 = 149,982/x
  3. Step 3: Cross multiply
    68,224x = 149,982 × 149,982
  4. Step 4: Simplify right side
    68,224x = 22,494,600,324
  5. Step 5: Solve for x
    x = 22,494,600,324/68,224
  6. Step 6: Final answer
    x = 329,716.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.