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Finding the Third Proportional to 55,606.50 and 115,821

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Solution

The third proportional to 55,606.50 and 115,821 is: 241,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,606.50 : 115,821 = 115,821 : x
  2. Step 2: Convert to fraction form
    55,606.50/115,821 = 115,821/x
  3. Step 3: Cross multiply
    55,606.50x = 115,821 × 115,821
  4. Step 4: Simplify right side
    55,606.50x = 13,414,504,041
  5. Step 5: Solve for x
    x = 13,414,504,041/55,606.50
  6. Step 6: Final answer
    x = 241,239.86

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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.