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Finding the Third Proportional to 37,147 and 81,065

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Solution

The third proportional to 37,147 and 81,065 is: 176,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147 : 81,065 = 81,065 : x
  2. Step 2: Convert to fraction form
    37,147/81,065 = 81,065/x
  3. Step 3: Cross multiply
    37,147x = 81,065 × 81,065
  4. Step 4: Simplify right side
    37,147x = 6,571,534,225
  5. Step 5: Solve for x
    x = 6,571,534,225/37,147
  6. Step 6: Final answer
    x = 176,906.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.