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Finding the Third Proportional to 96,644 and 136,096

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Solution

The third proportional to 96,644 and 136,096 is: 191,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,644 : 136,096 = 136,096 : x
  2. Step 2: Convert to fraction form
    96,644/136,096 = 136,096/x
  3. Step 3: Cross multiply
    96,644x = 136,096 × 136,096
  4. Step 4: Simplify right side
    96,644x = 18,522,121,216
  5. Step 5: Solve for x
    x = 18,522,121,216/96,644
  6. Step 6: Final answer
    x = 191,653.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.