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Finding the Third Proportional to 96,192 and 131,040

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Solution

The third proportional to 96,192 and 131,040 is: 178,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,192 : 131,040 = 131,040 : x
  2. Step 2: Convert to fraction form
    96,192/131,040 = 131,040/x
  3. Step 3: Cross multiply
    96,192x = 131,040 × 131,040
  4. Step 4: Simplify right side
    96,192x = 17,171,481,600
  5. Step 5: Solve for x
    x = 17,171,481,600/96,192
  6. Step 6: Final answer
    x = 178,512.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.