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Finding the Third Proportional to 62,736 and 151,728

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Solution

The third proportional to 62,736 and 151,728 is: 366,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,736 : 151,728 = 151,728 : x
  2. Step 2: Convert to fraction form
    62,736/151,728 = 151,728/x
  3. Step 3: Cross multiply
    62,736x = 151,728 × 151,728
  4. Step 4: Simplify right side
    62,736x = 23,021,385,984
  5. Step 5: Solve for x
    x = 23,021,385,984/62,736
  6. Step 6: Final answer
    x = 366,956.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.