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Finding the Third Proportional to 71,832 and 151,512

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Solution

The third proportional to 71,832 and 151,512 is: 319,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832 : 151,512 = 151,512 : x
  2. Step 2: Convert to fraction form
    71,832/151,512 = 151,512/x
  3. Step 3: Cross multiply
    71,832x = 151,512 × 151,512
  4. Step 4: Simplify right side
    71,832x = 22,955,886,144
  5. Step 5: Solve for x
    x = 22,955,886,144/71,832
  6. Step 6: Final answer
    x = 319,577.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.