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Finding the Third Proportional to 62,327 and 133,411

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Solution

The third proportional to 62,327 and 133,411 is: 285,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,327 : 133,411 = 133,411 : x
  2. Step 2: Convert to fraction form
    62,327/133,411 = 133,411/x
  3. Step 3: Cross multiply
    62,327x = 133,411 × 133,411
  4. Step 4: Simplify right side
    62,327x = 17,798,494,921
  5. Step 5: Solve for x
    x = 17,798,494,921/62,327
  6. Step 6: Final answer
    x = 285,566.37

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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.