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Finding the Third Proportional to 49,670 and 106,443

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Solution

The third proportional to 49,670 and 106,443 is: 228,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,670 : 106,443 = 106,443 : x
  2. Step 2: Convert to fraction form
    49,670/106,443 = 106,443/x
  3. Step 3: Cross multiply
    49,670x = 106,443 × 106,443
  4. Step 4: Simplify right side
    49,670x = 11,330,112,249
  5. Step 5: Solve for x
    x = 11,330,112,249/49,670
  6. Step 6: Final answer
    x = 228,107.76

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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.