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Finding the Third Proportional to 37,138 and 81,081

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Solution

The third proportional to 37,138 and 81,081 is: 177,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138 : 81,081 = 81,081 : x
  2. Step 2: Convert to fraction form
    37,138/81,081 = 81,081/x
  3. Step 3: Cross multiply
    37,138x = 81,081 × 81,081
  4. Step 4: Simplify right side
    37,138x = 6,574,128,561
  5. Step 5: Solve for x
    x = 6,574,128,561/37,138
  6. Step 6: Final answer
    x = 177,018.92

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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.