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Finding the Third Proportional to 57,972 and 122,171

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Solution

The third proportional to 57,972 and 122,171 is: 257,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 122,171 = 122,171 : x
  2. Step 2: Convert to fraction form
    57,972/122,171 = 122,171/x
  3. Step 3: Cross multiply
    57,972x = 122,171 × 122,171
  4. Step 4: Simplify right side
    57,972x = 14,925,753,241
  5. Step 5: Solve for x
    x = 14,925,753,241/57,972
  6. Step 6: Final answer
    x = 257,464.87

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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.