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Finding the Third Proportional to 49,483 and 116,692

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Solution

The third proportional to 49,483 and 116,692 is: 275,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,483 : 116,692 = 116,692 : x
  2. Step 2: Convert to fraction form
    49,483/116,692 = 116,692/x
  3. Step 3: Cross multiply
    49,483x = 116,692 × 116,692
  4. Step 4: Simplify right side
    49,483x = 13,617,022,864
  5. Step 5: Solve for x
    x = 13,617,022,864/49,483
  6. Step 6: Final answer
    x = 275,185.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.