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Finding the Third Proportional to 51,611 and 75,425

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Solution

The third proportional to 51,611 and 75,425 is: 110,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,611 : 75,425 = 75,425 : x
  2. Step 2: Convert to fraction form
    51,611/75,425 = 75,425/x
  3. Step 3: Cross multiply
    51,611x = 75,425 × 75,425
  4. Step 4: Simplify right side
    51,611x = 5,688,930,625
  5. Step 5: Solve for x
    x = 5,688,930,625/51,611
  6. Step 6: Final answer
    x = 110,227.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.