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Finding the Third Proportional to 62,328 and 133,512

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Solution

The third proportional to 62,328 and 133,512 is: 285,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,328 : 133,512 = 133,512 : x
  2. Step 2: Convert to fraction form
    62,328/133,512 = 133,512/x
  3. Step 3: Cross multiply
    62,328x = 133,512 × 133,512
  4. Step 4: Simplify right side
    62,328x = 17,825,454,144
  5. Step 5: Solve for x
    x = 17,825,454,144/62,328
  6. Step 6: Final answer
    x = 285,994.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.