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Finding the Third Proportional to 50,568 and 108,764

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Solution

The third proportional to 50,568 and 108,764 is: 233,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,568 : 108,764 = 108,764 : x
  2. Step 2: Convert to fraction form
    50,568/108,764 = 108,764/x
  3. Step 3: Cross multiply
    50,568x = 108,764 × 108,764
  4. Step 4: Simplify right side
    50,568x = 11,829,607,696
  5. Step 5: Solve for x
    x = 11,829,607,696/50,568
  6. Step 6: Final answer
    x = 233,934.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.