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Finding the Third Proportional to 55,983 and 120,993

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Solution

The third proportional to 55,983 and 120,993 is: 261,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983 : 120,993 = 120,993 : x
  2. Step 2: Convert to fraction form
    55,983/120,993 = 120,993/x
  3. Step 3: Cross multiply
    55,983x = 120,993 × 120,993
  4. Step 4: Simplify right side
    55,983x = 14,639,306,049
  5. Step 5: Solve for x
    x = 14,639,306,049/55,983
  6. Step 6: Final answer
    x = 261,495.56

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Why These Related Problems?

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