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Finding the Third Proportional to 109,422 and 164,241

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Solution

The third proportional to 109,422 and 164,241 is: 246,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,422 : 164,241 = 164,241 : x
  2. Step 2: Convert to fraction form
    109,422/164,241 = 164,241/x
  3. Step 3: Cross multiply
    109,422x = 164,241 × 164,241
  4. Step 4: Simplify right side
    109,422x = 26,975,106,081
  5. Step 5: Solve for x
    x = 26,975,106,081/109,422
  6. Step 6: Final answer
    x = 246,523.61

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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.