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Finding the Third Proportional to 57,969 and 122,165

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Solution

The third proportional to 57,969 and 122,165 is: 257,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,969 : 122,165 = 122,165 : x
  2. Step 2: Convert to fraction form
    57,969/122,165 = 122,165/x
  3. Step 3: Cross multiply
    57,969x = 122,165 × 122,165
  4. Step 4: Simplify right side
    57,969x = 14,924,287,225
  5. Step 5: Solve for x
    x = 14,924,287,225/57,969
  6. Step 6: Final answer
    x = 257,452.90

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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.