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Finding the Third Proportional to 57,192 and 86,760

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Solution

The third proportional to 57,192 and 86,760 is: 131,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192 : 86,760 = 86,760 : x
  2. Step 2: Convert to fraction form
    57,192/86,760 = 86,760/x
  3. Step 3: Cross multiply
    57,192x = 86,760 × 86,760
  4. Step 4: Simplify right side
    57,192x = 7,527,297,600
  5. Step 5: Solve for x
    x = 7,527,297,600/57,192
  6. Step 6: Final answer
    x = 131,614.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.