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Finding the Third Proportional to 45,828 and 100,512

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Solution

The third proportional to 45,828 and 100,512 is: 220,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,828 : 100,512 = 100,512 : x
  2. Step 2: Convert to fraction form
    45,828/100,512 = 100,512/x
  3. Step 3: Cross multiply
    45,828x = 100,512 × 100,512
  4. Step 4: Simplify right side
    45,828x = 10,102,662,144
  5. Step 5: Solve for x
    x = 10,102,662,144/45,828
  6. Step 6: Final answer
    x = 220,447.37

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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.