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Finding the Third Proportional to 29,144 and 62,443

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Solution

The third proportional to 29,144 and 62,443 is: 133,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144 : 62,443 = 62,443 : x
  2. Step 2: Convert to fraction form
    29,144/62,443 = 62,443/x
  3. Step 3: Cross multiply
    29,144x = 62,443 × 62,443
  4. Step 4: Simplify right side
    29,144x = 3,899,128,249
  5. Step 5: Solve for x
    x = 3,899,128,249/29,144
  6. Step 6: Final answer
    x = 133,788.37

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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.