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Finding the Third Proportional to 49,674 and 106,451

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Solution

The third proportional to 49,674 and 106,451 is: 228,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 106,451 = 106,451 : x
  2. Step 2: Convert to fraction form
    49,674/106,451 = 106,451/x
  3. Step 3: Cross multiply
    49,674x = 106,451 × 106,451
  4. Step 4: Simplify right side
    49,674x = 11,331,815,401
  5. Step 5: Solve for x
    x = 11,331,815,401/49,674
  6. Step 6: Final answer
    x = 228,123.67

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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.