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Finding the Third Proportional to 53,928 and 116,616

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Solution

The third proportional to 53,928 and 116,616 is: 252,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,928 : 116,616 = 116,616 : x
  2. Step 2: Convert to fraction form
    53,928/116,616 = 116,616/x
  3. Step 3: Cross multiply
    53,928x = 116,616 × 116,616
  4. Step 4: Simplify right side
    53,928x = 13,599,291,456
  5. Step 5: Solve for x
    x = 13,599,291,456/53,928
  6. Step 6: Final answer
    x = 252,174.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.