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Finding the Third Proportional to 62,021 and 133,039

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Solution

The third proportional to 62,021 and 133,039 is: 285,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,021 : 133,039 = 133,039 : x
  2. Step 2: Convert to fraction form
    62,021/133,039 = 133,039/x
  3. Step 3: Cross multiply
    62,021x = 133,039 × 133,039
  4. Step 4: Simplify right side
    62,021x = 17,699,375,521
  5. Step 5: Solve for x
    x = 17,699,375,521/62,021
  6. Step 6: Final answer
    x = 285,377.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.