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Finding the Third Proportional to 49,041 and 105,858

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Solution

The third proportional to 49,041 and 105,858 is: 228,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041 : 105,858 = 105,858 : x
  2. Step 2: Convert to fraction form
    49,041/105,858 = 105,858/x
  3. Step 3: Cross multiply
    49,041x = 105,858 × 105,858
  4. Step 4: Simplify right side
    49,041x = 11,205,916,164
  5. Step 5: Solve for x
    x = 11,205,916,164/49,041
  6. Step 6: Final answer
    x = 228,500.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.