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Finding the Third Proportional to 55,649 and 115,906

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Solution

The third proportional to 55,649 and 115,906 is: 241,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649 : 115,906 = 115,906 : x
  2. Step 2: Convert to fraction form
    55,649/115,906 = 115,906/x
  3. Step 3: Cross multiply
    55,649x = 115,906 × 115,906
  4. Step 4: Simplify right side
    55,649x = 13,434,200,836
  5. Step 5: Solve for x
    x = 13,434,200,836/55,649
  6. Step 6: Final answer
    x = 241,409.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.