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Finding the Third Proportional to 49,928 and 108,604

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Solution

The third proportional to 49,928 and 108,604 is: 236,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,928 : 108,604 = 108,604 : x
  2. Step 2: Convert to fraction form
    49,928/108,604 = 108,604/x
  3. Step 3: Cross multiply
    49,928x = 108,604 × 108,604
  4. Step 4: Simplify right side
    49,928x = 11,794,828,816
  5. Step 5: Solve for x
    x = 11,794,828,816/49,928
  6. Step 6: Final answer
    x = 236,236.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.