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Finding the Third Proportional to 111,757 and 168,093

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Solution

The third proportional to 111,757 and 168,093 is: 252,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,757 : 168,093 = 168,093 : x
  2. Step 2: Convert to fraction form
    111,757/168,093 = 168,093/x
  3. Step 3: Cross multiply
    111,757x = 168,093 × 168,093
  4. Step 4: Simplify right side
    111,757x = 28,255,256,649
  5. Step 5: Solve for x
    x = 28,255,256,649/111,757
  6. Step 6: Final answer
    x = 252,827.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.