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Finding the Third Proportional to 57,416 and 84,238

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Solution

The third proportional to 57,416 and 84,238 is: 123,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416 : 84,238 = 84,238 : x
  2. Step 2: Convert to fraction form
    57,416/84,238 = 84,238/x
  3. Step 3: Cross multiply
    57,416x = 84,238 × 84,238
  4. Step 4: Simplify right side
    57,416x = 7,096,040,644
  5. Step 5: Solve for x
    x = 7,096,040,644/57,416
  6. Step 6: Final answer
    x = 123,589.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.