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Finding the Third Proportional to 68,982 and 151,512

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Solution

The third proportional to 68,982 and 151,512 is: 332,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982 : 151,512 = 151,512 : x
  2. Step 2: Convert to fraction form
    68,982/151,512 = 151,512/x
  3. Step 3: Cross multiply
    68,982x = 151,512 × 151,512
  4. Step 4: Simplify right side
    68,982x = 22,955,886,144
  5. Step 5: Solve for x
    x = 22,955,886,144/68,982
  6. Step 6: Final answer
    x = 332,780.81

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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.