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Finding the Third Proportional to 96,832 and 133,344

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Solution

The third proportional to 96,832 and 133,344 is: 183,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,832 : 133,344 = 133,344 : x
  2. Step 2: Convert to fraction form
    96,832/133,344 = 133,344/x
  3. Step 3: Cross multiply
    96,832x = 133,344 × 133,344
  4. Step 4: Simplify right side
    96,832x = 17,780,622,336
  5. Step 5: Solve for x
    x = 17,780,622,336/96,832
  6. Step 6: Final answer
    x = 183,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.