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Finding the Third Proportional to 109,325 and 164,325

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Solution

The third proportional to 109,325 and 164,325 is: 246,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,325 : 164,325 = 164,325 : x
  2. Step 2: Convert to fraction form
    109,325/164,325 = 164,325/x
  3. Step 3: Cross multiply
    109,325x = 164,325 × 164,325
  4. Step 4: Simplify right side
    109,325x = 27,002,705,625
  5. Step 5: Solve for x
    x = 27,002,705,625/109,325
  6. Step 6: Final answer
    x = 246,994.79

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