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Finding the Third Proportional to 57,800 and 126,184

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Solution

The third proportional to 57,800 and 126,184 is: 275,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800 : 126,184 = 126,184 : x
  2. Step 2: Convert to fraction form
    57,800/126,184 = 126,184/x
  3. Step 3: Cross multiply
    57,800x = 126,184 × 126,184
  4. Step 4: Simplify right side
    57,800x = 15,922,401,856
  5. Step 5: Solve for x
    x = 15,922,401,856/57,800
  6. Step 6: Final answer
    x = 275,474.08

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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.