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Finding the Third Proportional to 71,197 and 151,596

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Solution

The third proportional to 71,197 and 151,596 is: 322,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,197 : 151,596 = 151,596 : x
  2. Step 2: Convert to fraction form
    71,197/151,596 = 151,596/x
  3. Step 3: Cross multiply
    71,197x = 151,596 × 151,596
  4. Step 4: Simplify right side
    71,197x = 22,981,347,216
  5. Step 5: Solve for x
    x = 22,981,347,216/71,197
  6. Step 6: Final answer
    x = 322,785.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.