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Finding the Third Proportional to 81,885 and 122,940

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Solution

The third proportional to 81,885 and 122,940 is: 184,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885 : 122,940 = 122,940 : x
  2. Step 2: Convert to fraction form
    81,885/122,940 = 122,940/x
  3. Step 3: Cross multiply
    81,885x = 122,940 × 122,940
  4. Step 4: Simplify right side
    81,885x = 15,114,243,600
  5. Step 5: Solve for x
    x = 15,114,243,600/81,885
  6. Step 6: Final answer
    x = 184,578.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.