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Finding the Third Proportional to 79,932 and 173,418

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Solution

The third proportional to 79,932 and 173,418 is: 376,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,932 : 173,418 = 173,418 : x
  2. Step 2: Convert to fraction form
    79,932/173,418 = 173,418/x
  3. Step 3: Cross multiply
    79,932x = 173,418 × 173,418
  4. Step 4: Simplify right side
    79,932x = 30,073,802,724
  5. Step 5: Solve for x
    x = 30,073,802,724/79,932
  6. Step 6: Final answer
    x = 376,242.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.