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Finding the Third Proportional to 37,493 and 81,106

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Solution

The third proportional to 37,493 and 81,106 is: 175,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493 : 81,106 = 81,106 : x
  2. Step 2: Convert to fraction form
    37,493/81,106 = 81,106/x
  3. Step 3: Cross multiply
    37,493x = 81,106 × 81,106
  4. Step 4: Simplify right side
    37,493x = 6,578,183,236
  5. Step 5: Solve for x
    x = 6,578,183,236/37,493
  6. Step 6: Final answer
    x = 175,450.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.