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Finding the Third Proportional to 135,972 and 195,840

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Solution

The third proportional to 135,972 and 195,840 is: 282,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 195,840 = 195,840 : x
  2. Step 2: Convert to fraction form
    135,972/195,840 = 195,840/x
  3. Step 3: Cross multiply
    135,972x = 195,840 × 195,840
  4. Step 4: Simplify right side
    135,972x = 38,353,305,600
  5. Step 5: Solve for x
    x = 38,353,305,600/135,972
  6. Step 6: Final answer
    x = 282,067.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.