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Finding the Third Proportional to 109,836 and 164,376

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Solution

The third proportional to 109,836 and 164,376 is: 245,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836 : 164,376 = 164,376 : x
  2. Step 2: Convert to fraction form
    109,836/164,376 = 164,376/x
  3. Step 3: Cross multiply
    109,836x = 164,376 × 164,376
  4. Step 4: Simplify right side
    109,836x = 27,019,469,376
  5. Step 5: Solve for x
    x = 27,019,469,376/109,836
  6. Step 6: Final answer
    x = 245,998.30

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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.