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Finding the Third Proportional to 57,992 and 111,376

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Solution

The third proportional to 57,992 and 111,376 is: 213,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,992 : 111,376 = 111,376 : x
  2. Step 2: Convert to fraction form
    57,992/111,376 = 111,376/x
  3. Step 3: Cross multiply
    57,992x = 111,376 × 111,376
  4. Step 4: Simplify right side
    57,992x = 12,404,613,376
  5. Step 5: Solve for x
    x = 12,404,613,376/57,992
  6. Step 6: Final answer
    x = 213,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.