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Finding the Third Proportional to 55,110 and 117,996

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Solution

The third proportional to 55,110 and 117,996 is: 252,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,110 : 117,996 = 117,996 : x
  2. Step 2: Convert to fraction form
    55,110/117,996 = 117,996/x
  3. Step 3: Cross multiply
    55,110x = 117,996 × 117,996
  4. Step 4: Simplify right side
    55,110x = 13,923,056,016
  5. Step 5: Solve for x
    x = 13,923,056,016/55,110
  6. Step 6: Final answer
    x = 252,641.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.