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Finding the Third Proportional to 37,170 and 81,108

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Solution

The third proportional to 37,170 and 81,108 is: 176,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,170 : 81,108 = 81,108 : x
  2. Step 2: Convert to fraction form
    37,170/81,108 = 81,108/x
  3. Step 3: Cross multiply
    37,170x = 81,108 × 81,108
  4. Step 4: Simplify right side
    37,170x = 6,578,507,664
  5. Step 5: Solve for x
    x = 6,578,507,664/37,170
  6. Step 6: Final answer
    x = 176,984.33

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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.