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Finding the Third Proportional to 68,916 and 150,138

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Solution

The third proportional to 68,916 and 150,138 is: 327,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,916 : 150,138 = 150,138 : x
  2. Step 2: Convert to fraction form
    68,916/150,138 = 150,138/x
  3. Step 3: Cross multiply
    68,916x = 150,138 × 150,138
  4. Step 4: Simplify right side
    68,916x = 22,541,419,044
  5. Step 5: Solve for x
    x = 22,541,419,044/68,916
  6. Step 6: Final answer
    x = 327,085.42

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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.