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Finding the Third Proportional to 45,760 and 100,268

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Solution

The third proportional to 45,760 and 100,268 is: 219,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,760 : 100,268 = 100,268 : x
  2. Step 2: Convert to fraction form
    45,760/100,268 = 100,268/x
  3. Step 3: Cross multiply
    45,760x = 100,268 × 100,268
  4. Step 4: Simplify right side
    45,760x = 10,053,671,824
  5. Step 5: Solve for x
    x = 10,053,671,824/45,760
  6. Step 6: Final answer
    x = 219,704.37

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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.