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Finding the Third Proportional to 51,568 and 108,664

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Solution

The third proportional to 51,568 and 108,664 is: 228,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,568 : 108,664 = 108,664 : x
  2. Step 2: Convert to fraction form
    51,568/108,664 = 108,664/x
  3. Step 3: Cross multiply
    51,568x = 108,664 × 108,664
  4. Step 4: Simplify right side
    51,568x = 11,807,864,896
  5. Step 5: Solve for x
    x = 11,807,864,896/51,568
  6. Step 6: Final answer
    x = 228,976.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.