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Finding the Third Proportional to 54,147 and 84,165

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Solution

The third proportional to 54,147 and 84,165 is: 130,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,147 : 84,165 = 84,165 : x
  2. Step 2: Convert to fraction form
    54,147/84,165 = 84,165/x
  3. Step 3: Cross multiply
    54,147x = 84,165 × 84,165
  4. Step 4: Simplify right side
    54,147x = 7,083,747,225
  5. Step 5: Solve for x
    x = 7,083,747,225/54,147
  6. Step 6: Final answer
    x = 130,824.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.