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Finding the Third Proportional to 50,614 and 111,069

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Solution

The third proportional to 50,614 and 111,069 is: 243,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,614 : 111,069 = 111,069 : x
  2. Step 2: Convert to fraction form
    50,614/111,069 = 111,069/x
  3. Step 3: Cross multiply
    50,614x = 111,069 × 111,069
  4. Step 4: Simplify right side
    50,614x = 12,336,322,761
  5. Step 5: Solve for x
    x = 12,336,322,761/50,614
  6. Step 6: Final answer
    x = 243,733.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.