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Finding the Third Proportional to 57,184 and 82,824

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Solution

The third proportional to 57,184 and 82,824 is: 119,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184 : 82,824 = 82,824 : x
  2. Step 2: Convert to fraction form
    57,184/82,824 = 82,824/x
  3. Step 3: Cross multiply
    57,184x = 82,824 × 82,824
  4. Step 4: Simplify right side
    57,184x = 6,859,814,976
  5. Step 5: Solve for x
    x = 6,859,814,976/57,184
  6. Step 6: Final answer
    x = 119,960.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.