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Finding the Third Proportional to 120,540 and 252,096

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Solution

The third proportional to 120,540 and 252,096 is: 527,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540 : 252,096 = 252,096 : x
  2. Step 2: Convert to fraction form
    120,540/252,096 = 252,096/x
  3. Step 3: Cross multiply
    120,540x = 252,096 × 252,096
  4. Step 4: Simplify right side
    120,540x = 63,552,393,216
  5. Step 5: Solve for x
    x = 63,552,393,216/120,540
  6. Step 6: Final answer
    x = 527,230.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.