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Finding the Third Proportional to 45,272 and 100,912

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Solution

The third proportional to 45,272 and 100,912 is: 224,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,272 : 100,912 = 100,912 : x
  2. Step 2: Convert to fraction form
    45,272/100,912 = 100,912/x
  3. Step 3: Cross multiply
    45,272x = 100,912 × 100,912
  4. Step 4: Simplify right side
    45,272x = 10,183,231,744
  5. Step 5: Solve for x
    x = 10,183,231,744/45,272
  6. Step 6: Final answer
    x = 224,934.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.