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Finding the Third Proportional to 104,227 and 245,876

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Solution

The third proportional to 104,227 and 245,876 is: 580,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,227 : 245,876 = 245,876 : x
  2. Step 2: Convert to fraction form
    104,227/245,876 = 245,876/x
  3. Step 3: Cross multiply
    104,227x = 245,876 × 245,876
  4. Step 4: Simplify right side
    104,227x = 60,455,007,376
  5. Step 5: Solve for x
    x = 60,455,007,376/104,227
  6. Step 6: Final answer
    x = 580,032.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.