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Finding the Third Proportional to 37,039 and 81,106

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Solution

The third proportional to 37,039 and 81,106 is: 177,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 81,106 = 81,106 : x
  2. Step 2: Convert to fraction form
    37,039/81,106 = 81,106/x
  3. Step 3: Cross multiply
    37,039x = 81,106 × 81,106
  4. Step 4: Simplify right side
    37,039x = 6,578,183,236
  5. Step 5: Solve for x
    x = 6,578,183,236/37,039
  6. Step 6: Final answer
    x = 177,601.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.