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Finding the Third Proportional to 102,540 and 225,242

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Solution

The third proportional to 102,540 and 225,242 is: 494,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 225,242 = 225,242 : x
  2. Step 2: Convert to fraction form
    102,540/225,242 = 225,242/x
  3. Step 3: Cross multiply
    102,540x = 225,242 × 225,242
  4. Step 4: Simplify right side
    102,540x = 50,733,958,564
  5. Step 5: Solve for x
    x = 50,733,958,564/102,540
  6. Step 6: Final answer
    x = 494,772.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.