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Finding the Third Proportional to 36,494 and 75,721

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Solution

The third proportional to 36,494 and 75,721 is: 157,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494 : 75,721 = 75,721 : x
  2. Step 2: Convert to fraction form
    36,494/75,721 = 75,721/x
  3. Step 3: Cross multiply
    36,494x = 75,721 × 75,721
  4. Step 4: Simplify right side
    36,494x = 5,733,669,841
  5. Step 5: Solve for x
    x = 5,733,669,841/36,494
  6. Step 6: Final answer
    x = 157,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.