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Finding the Third Proportional to 81,974 and 122,961

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Solution

The third proportional to 81,974 and 122,961 is: 184,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974 : 122,961 = 122,961 : x
  2. Step 2: Convert to fraction form
    81,974/122,961 = 122,961/x
  3. Step 3: Cross multiply
    81,974x = 122,961 × 122,961
  4. Step 4: Simplify right side
    81,974x = 15,119,407,521
  5. Step 5: Solve for x
    x = 15,119,407,521/81,974
  6. Step 6: Final answer
    x = 184,441.50

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Why These Related Problems?

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