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Finding the Third Proportional to 74,625 and 110,478

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Solution

The third proportional to 74,625 and 110,478 is: 163,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625 : 110,478 = 110,478 : x
  2. Step 2: Convert to fraction form
    74,625/110,478 = 110,478/x
  3. Step 3: Cross multiply
    74,625x = 110,478 × 110,478
  4. Step 4: Simplify right side
    74,625x = 12,205,388,484
  5. Step 5: Solve for x
    x = 12,205,388,484/74,625
  6. Step 6: Final answer
    x = 163,556.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.