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Finding the Third Proportional to 57,057 and 120,006

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Solution

The third proportional to 57,057 and 120,006 is: 252,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 120,006 = 120,006 : x
  2. Step 2: Convert to fraction form
    57,057/120,006 = 120,006/x
  3. Step 3: Cross multiply
    57,057x = 120,006 × 120,006
  4. Step 4: Simplify right side
    57,057x = 14,401,440,036
  5. Step 5: Solve for x
    x = 14,401,440,036/57,057
  6. Step 6: Final answer
    x = 252,404.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.