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Finding the Third Proportional to 79,825.50 and 173,826

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Solution

The third proportional to 79,825.50 and 173,826 is: 378,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,825.50 : 173,826 = 173,826 : x
  2. Step 2: Convert to fraction form
    79,825.50/173,826 = 173,826/x
  3. Step 3: Cross multiply
    79,825.50x = 173,826 × 173,826
  4. Step 4: Simplify right side
    79,825.50x = 30,215,478,276
  5. Step 5: Solve for x
    x = 30,215,478,276/79,825.50
  6. Step 6: Final answer
    x = 378,519.12

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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.