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Finding the Third Proportional to 109,217 and 164,186

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Solution

The third proportional to 109,217 and 164,186 is: 246,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 164,186 = 164,186 : x
  2. Step 2: Convert to fraction form
    109,217/164,186 = 164,186/x
  3. Step 3: Cross multiply
    109,217x = 164,186 × 164,186
  4. Step 4: Simplify right side
    109,217x = 26,957,042,596
  5. Step 5: Solve for x
    x = 26,957,042,596/109,217
  6. Step 6: Final answer
    x = 246,820.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.