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Finding the Third Proportional to 57,860 and 126,817

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Solution

The third proportional to 57,860 and 126,817 is: 277,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,860 : 126,817 = 126,817 : x
  2. Step 2: Convert to fraction form
    57,860/126,817 = 126,817/x
  3. Step 3: Cross multiply
    57,860x = 126,817 × 126,817
  4. Step 4: Simplify right side
    57,860x = 16,082,551,489
  5. Step 5: Solve for x
    x = 16,082,551,489/57,860
  6. Step 6: Final answer
    x = 277,956.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.