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Finding the Third Proportional to 29,207 and 62,857

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Solution

The third proportional to 29,207 and 62,857 is: 135,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207 : 62,857 = 62,857 : x
  2. Step 2: Convert to fraction form
    29,207/62,857 = 62,857/x
  3. Step 3: Cross multiply
    29,207x = 62,857 × 62,857
  4. Step 4: Simplify right side
    29,207x = 3,951,002,449
  5. Step 5: Solve for x
    x = 3,951,002,449/29,207
  6. Step 6: Final answer
    x = 135,275.87

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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.