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Finding the Third Proportional to 68,374 and 150,212

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Solution

The third proportional to 68,374 and 150,212 is: 330,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374 : 150,212 = 150,212 : x
  2. Step 2: Convert to fraction form
    68,374/150,212 = 150,212/x
  3. Step 3: Cross multiply
    68,374x = 150,212 × 150,212
  4. Step 4: Simplify right side
    68,374x = 22,563,644,944
  5. Step 5: Solve for x
    x = 22,563,644,944/68,374
  6. Step 6: Final answer
    x = 330,003.29

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