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Finding the Third Proportional to 81,984 and 122,976

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Solution

The third proportional to 81,984 and 122,976 is: 184,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984 : 122,976 = 122,976 : x
  2. Step 2: Convert to fraction form
    81,984/122,976 = 122,976/x
  3. Step 3: Cross multiply
    81,984x = 122,976 × 122,976
  4. Step 4: Simplify right side
    81,984x = 15,123,096,576
  5. Step 5: Solve for x
    x = 15,123,096,576/81,984
  6. Step 6: Final answer
    x = 184,464

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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.