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Finding the Third Proportional to 40,225 and 88,380

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Solution

The third proportional to 40,225 and 88,380 is: 194,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,225 : 88,380 = 88,380 : x
  2. Step 2: Convert to fraction form
    40,225/88,380 = 88,380/x
  3. Step 3: Cross multiply
    40,225x = 88,380 × 88,380
  4. Step 4: Simplify right side
    40,225x = 7,811,024,400
  5. Step 5: Solve for x
    x = 7,811,024,400/40,225
  6. Step 6: Final answer
    x = 194,183.33

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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.