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Finding the Third Proportional to 55,872 and 120,996

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Solution

The third proportional to 55,872 and 120,996 is: 262,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872 : 120,996 = 120,996 : x
  2. Step 2: Convert to fraction form
    55,872/120,996 = 120,996/x
  3. Step 3: Cross multiply
    55,872x = 120,996 × 120,996
  4. Step 4: Simplify right side
    55,872x = 14,640,032,016
  5. Step 5: Solve for x
    x = 14,640,032,016/55,872
  6. Step 6: Final answer
    x = 262,028.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.