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Finding the Third Proportional to 87,796 and 193,096

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Solution

The third proportional to 87,796 and 193,096 is: 424,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,796 : 193,096 = 193,096 : x
  2. Step 2: Convert to fraction form
    87,796/193,096 = 193,096/x
  3. Step 3: Cross multiply
    87,796x = 193,096 × 193,096
  4. Step 4: Simplify right side
    87,796x = 37,286,065,216
  5. Step 5: Solve for x
    x = 37,286,065,216/87,796
  6. Step 6: Final answer
    x = 424,689.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.