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Finding the Third Proportional to 55,601 and 118,249

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Solution

The third proportional to 55,601 and 118,249 is: 251,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,601 : 118,249 = 118,249 : x
  2. Step 2: Convert to fraction form
    55,601/118,249 = 118,249/x
  3. Step 3: Cross multiply
    55,601x = 118,249 × 118,249
  4. Step 4: Simplify right side
    55,601x = 13,982,826,001
  5. Step 5: Solve for x
    x = 13,982,826,001/55,601
  6. Step 6: Final answer
    x = 251,485.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.