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Finding the Third Proportional to 67,855 and 102,525

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Solution

The third proportional to 67,855 and 102,525 is: 154,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,855 : 102,525 = 102,525 : x
  2. Step 2: Convert to fraction form
    67,855/102,525 = 102,525/x
  3. Step 3: Cross multiply
    67,855x = 102,525 × 102,525
  4. Step 4: Simplify right side
    67,855x = 10,511,375,625
  5. Step 5: Solve for x
    x = 10,511,375,625/67,855
  6. Step 6: Final answer
    x = 154,909.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.