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Finding the Third Proportional to 79,418 and 173,074

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Solution

The third proportional to 79,418 and 173,074 is: 377,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,418 : 173,074 = 173,074 : x
  2. Step 2: Convert to fraction form
    79,418/173,074 = 173,074/x
  3. Step 3: Cross multiply
    79,418x = 173,074 × 173,074
  4. Step 4: Simplify right side
    79,418x = 29,954,609,476
  5. Step 5: Solve for x
    x = 29,954,609,476/79,418
  6. Step 6: Final answer
    x = 377,176.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.