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Finding the Third Proportional to 136,172 and 195,728

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Solution

The third proportional to 136,172 and 195,728 is: 281,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,172 : 195,728 = 195,728 : x
  2. Step 2: Convert to fraction form
    136,172/195,728 = 195,728/x
  3. Step 3: Cross multiply
    136,172x = 195,728 × 195,728
  4. Step 4: Simplify right side
    136,172x = 38,309,449,984
  5. Step 5: Solve for x
    x = 38,309,449,984/136,172
  6. Step 6: Final answer
    x = 281,331.33

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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.