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Finding the Third Proportional to 57,051 and 120,474

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Solution

The third proportional to 57,051 and 120,474 is: 254,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051 : 120,474 = 120,474 : x
  2. Step 2: Convert to fraction form
    57,051/120,474 = 120,474/x
  3. Step 3: Cross multiply
    57,051x = 120,474 × 120,474
  4. Step 4: Simplify right side
    57,051x = 14,513,984,676
  5. Step 5: Solve for x
    x = 14,513,984,676/57,051
  6. Step 6: Final answer
    x = 254,403.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.