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Finding the Third Proportional to 62,311 and 133,371

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Solution

The third proportional to 62,311 and 133,371 is: 285,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,311 : 133,371 = 133,371 : x
  2. Step 2: Convert to fraction form
    62,311/133,371 = 133,371/x
  3. Step 3: Cross multiply
    62,311x = 133,371 × 133,371
  4. Step 4: Simplify right side
    62,311x = 17,787,823,641
  5. Step 5: Solve for x
    x = 17,787,823,641/62,311
  6. Step 6: Final answer
    x = 285,468.43

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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.