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Finding the Third Proportional to 96,834 and 132,015

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Solution

The third proportional to 96,834 and 132,015 is: 179,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,834 : 132,015 = 132,015 : x
  2. Step 2: Convert to fraction form
    96,834/132,015 = 132,015/x
  3. Step 3: Cross multiply
    96,834x = 132,015 × 132,015
  4. Step 4: Simplify right side
    96,834x = 17,427,960,225
  5. Step 5: Solve for x
    x = 17,427,960,225/96,834
  6. Step 6: Final answer
    x = 179,977.70

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Why These Related Problems?

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