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Finding the Third Proportional to 109,489 and 164,233

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Solution

The third proportional to 109,489 and 164,233 is: 246,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489 : 164,233 = 164,233 : x
  2. Step 2: Convert to fraction form
    109,489/164,233 = 164,233/x
  3. Step 3: Cross multiply
    109,489x = 164,233 × 164,233
  4. Step 4: Simplify right side
    109,489x = 26,972,478,289
  5. Step 5: Solve for x
    x = 26,972,478,289/109,489
  6. Step 6: Final answer
    x = 246,348.75

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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.