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Finding the Third Proportional to 45,079 and 67,625

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Solution

The third proportional to 45,079 and 67,625 is: 101,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,079 : 67,625 = 67,625 : x
  2. Step 2: Convert to fraction form
    45,079/67,625 = 67,625/x
  3. Step 3: Cross multiply
    45,079x = 67,625 × 67,625
  4. Step 4: Simplify right side
    45,079x = 4,573,140,625
  5. Step 5: Solve for x
    x = 4,573,140,625/45,079
  6. Step 6: Final answer
    x = 101,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.