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Finding the Third Proportional to 45,891 and 67,175

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Solution

The third proportional to 45,891 and 67,175 is: 98,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891 : 67,175 = 67,175 : x
  2. Step 2: Convert to fraction form
    45,891/67,175 = 67,175/x
  3. Step 3: Cross multiply
    45,891x = 67,175 × 67,175
  4. Step 4: Simplify right side
    45,891x = 4,512,480,625
  5. Step 5: Solve for x
    x = 4,512,480,625/45,891
  6. Step 6: Final answer
    x = 98,330.41

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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.