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Finding the Third Proportional to 31,197 and 68,226

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Solution

The third proportional to 31,197 and 68,226 is: 149,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197 : 68,226 = 68,226 : x
  2. Step 2: Convert to fraction form
    31,197/68,226 = 68,226/x
  3. Step 3: Cross multiply
    31,197x = 68,226 × 68,226
  4. Step 4: Simplify right side
    31,197x = 4,654,787,076
  5. Step 5: Solve for x
    x = 4,654,787,076/31,197
  6. Step 6: Final answer
    x = 149,206.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.