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Finding the Third Proportional to 57,455 and 86,238

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Solution

The third proportional to 57,455 and 86,238 is: 129,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,455 : 86,238 = 86,238 : x
  2. Step 2: Convert to fraction form
    57,455/86,238 = 86,238/x
  3. Step 3: Cross multiply
    57,455x = 86,238 × 86,238
  4. Step 4: Simplify right side
    57,455x = 7,436,992,644
  5. Step 5: Solve for x
    x = 7,436,992,644/57,455
  6. Step 6: Final answer
    x = 129,440.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.