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Finding the Third Proportional to 97,832 and 132,108

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Solution

The third proportional to 97,832 and 132,108 is: 178,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,832 : 132,108 = 132,108 : x
  2. Step 2: Convert to fraction form
    97,832/132,108 = 132,108/x
  3. Step 3: Cross multiply
    97,832x = 132,108 × 132,108
  4. Step 4: Simplify right side
    97,832x = 17,452,523,664
  5. Step 5: Solve for x
    x = 17,452,523,664/97,832
  6. Step 6: Final answer
    x = 178,392.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.