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Finding the Third Proportional to 29,193 and 64,218

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Solution

The third proportional to 29,193 and 64,218 is: 141,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193 : 64,218 = 64,218 : x
  2. Step 2: Convert to fraction form
    29,193/64,218 = 64,218/x
  3. Step 3: Cross multiply
    29,193x = 64,218 × 64,218
  4. Step 4: Simplify right side
    29,193x = 4,123,951,524
  5. Step 5: Solve for x
    x = 4,123,951,524/29,193
  6. Step 6: Final answer
    x = 141,265.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.