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Finding the Third Proportional to 79,692 and 173,404

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Solution

The third proportional to 79,692 and 173,404 is: 377,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,692 : 173,404 = 173,404 : x
  2. Step 2: Convert to fraction form
    79,692/173,404 = 173,404/x
  3. Step 3: Cross multiply
    79,692x = 173,404 × 173,404
  4. Step 4: Simplify right side
    79,692x = 30,068,947,216
  5. Step 5: Solve for x
    x = 30,068,947,216/79,692
  6. Step 6: Final answer
    x = 377,314.50

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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.