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Finding the Third Proportional to 92,096 and 203,552

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Solution

The third proportional to 92,096 and 203,552 is: 449,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096 : 203,552 = 203,552 : x
  2. Step 2: Convert to fraction form
    92,096/203,552 = 203,552/x
  3. Step 3: Cross multiply
    92,096x = 203,552 × 203,552
  4. Step 4: Simplify right side
    92,096x = 41,433,416,704
  5. Step 5: Solve for x
    x = 41,433,416,704/92,096
  6. Step 6: Final answer
    x = 449,893.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.