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Finding the Third Proportional to 36,147 and 76,902

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Solution

The third proportional to 36,147 and 76,902 is: 163,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147 : 76,902 = 76,902 : x
  2. Step 2: Convert to fraction form
    36,147/76,902 = 76,902/x
  3. Step 3: Cross multiply
    36,147x = 76,902 × 76,902
  4. Step 4: Simplify right side
    36,147x = 5,913,917,604
  5. Step 5: Solve for x
    x = 5,913,917,604/36,147
  6. Step 6: Final answer
    x = 163,607.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.