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Finding the Third Proportional to 49,055 and 105,881

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Solution

The third proportional to 49,055 and 105,881 is: 228,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055 : 105,881 = 105,881 : x
  2. Step 2: Convert to fraction form
    49,055/105,881 = 105,881/x
  3. Step 3: Cross multiply
    49,055x = 105,881 × 105,881
  4. Step 4: Simplify right side
    49,055x = 11,210,786,161
  5. Step 5: Solve for x
    x = 11,210,786,161/49,055
  6. Step 6: Final answer
    x = 228,535.04

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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.