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Finding the Third Proportional to 55,609 and 115,825

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Solution

The third proportional to 55,609 and 115,825 is: 241,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,609 : 115,825 = 115,825 : x
  2. Step 2: Convert to fraction form
    55,609/115,825 = 115,825/x
  3. Step 3: Cross multiply
    55,609x = 115,825 × 115,825
  4. Step 4: Simplify right side
    55,609x = 13,415,430,625
  5. Step 5: Solve for x
    x = 13,415,430,625/55,609
  6. Step 6: Final answer
    x = 241,245.67

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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.