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Finding the Third Proportional to 62,379 and 133,497

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Solution

The third proportional to 62,379 and 133,497 is: 285,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,379 : 133,497 = 133,497 : x
  2. Step 2: Convert to fraction form
    62,379/133,497 = 133,497/x
  3. Step 3: Cross multiply
    62,379x = 133,497 × 133,497
  4. Step 4: Simplify right side
    62,379x = 17,821,449,009
  5. Step 5: Solve for x
    x = 17,821,449,009/62,379
  6. Step 6: Final answer
    x = 285,696.29

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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.