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Finding the Third Proportional to 122,832 and 195,840

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Solution

The third proportional to 122,832 and 195,840 is: 312,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,832 : 195,840 = 195,840 : x
  2. Step 2: Convert to fraction form
    122,832/195,840 = 195,840/x
  3. Step 3: Cross multiply
    122,832x = 195,840 × 195,840
  4. Step 4: Simplify right side
    122,832x = 38,353,305,600
  5. Step 5: Solve for x
    x = 38,353,305,600/122,832
  6. Step 6: Final answer
    x = 312,241.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.