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Finding the Third Proportional to 29,122 and 62,399

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Solution

The third proportional to 29,122 and 62,399 is: 133,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122 : 62,399 = 62,399 : x
  2. Step 2: Convert to fraction form
    29,122/62,399 = 62,399/x
  3. Step 3: Cross multiply
    29,122x = 62,399 × 62,399
  4. Step 4: Simplify right side
    29,122x = 3,893,635,201
  5. Step 5: Solve for x
    x = 3,893,635,201/29,122
  6. Step 6: Final answer
    x = 133,700.82

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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.