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Finding the Third Proportional to 55,872 and 117,504

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Solution

The third proportional to 55,872 and 117,504 is: 247,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872 : 117,504 = 117,504 : x
  2. Step 2: Convert to fraction form
    55,872/117,504 = 117,504/x
  3. Step 3: Cross multiply
    55,872x = 117,504 × 117,504
  4. Step 4: Simplify right side
    55,872x = 13,807,190,016
  5. Step 5: Solve for x
    x = 13,807,190,016/55,872
  6. Step 6: Final answer
    x = 247,121.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.