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Finding the Third Proportional to 34,437 and 75,425

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Solution

The third proportional to 34,437 and 75,425 is: 165,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437 : 75,425 = 75,425 : x
  2. Step 2: Convert to fraction form
    34,437/75,425 = 75,425/x
  3. Step 3: Cross multiply
    34,437x = 75,425 × 75,425
  4. Step 4: Simplify right side
    34,437x = 5,688,930,625
  5. Step 5: Solve for x
    x = 5,688,930,625/34,437
  6. Step 6: Final answer
    x = 165,198.21

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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.