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Finding the Third Proportional to 49,648 and 106,184

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Solution

The third proportional to 49,648 and 106,184 is: 227,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648 : 106,184 = 106,184 : x
  2. Step 2: Convert to fraction form
    49,648/106,184 = 106,184/x
  3. Step 3: Cross multiply
    49,648x = 106,184 × 106,184
  4. Step 4: Simplify right side
    49,648x = 11,275,041,856
  5. Step 5: Solve for x
    x = 11,275,041,856/49,648
  6. Step 6: Final answer
    x = 227,099.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.