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Finding the Third Proportional to 109,568 and 164,109

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Solution

The third proportional to 109,568 and 164,109 is: 245,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,568 : 164,109 = 164,109 : x
  2. Step 2: Convert to fraction form
    109,568/164,109 = 164,109/x
  3. Step 3: Cross multiply
    109,568x = 164,109 × 164,109
  4. Step 4: Simplify right side
    109,568x = 26,931,763,881
  5. Step 5: Solve for x
    x = 26,931,763,881/109,568
  6. Step 6: Final answer
    x = 245,799.54

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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.