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Finding the Third Proportional to 118,608 and 259,110

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Solution

The third proportional to 118,608 and 259,110 is: 566,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,608 : 259,110 = 259,110 : x
  2. Step 2: Convert to fraction form
    118,608/259,110 = 259,110/x
  3. Step 3: Cross multiply
    118,608x = 259,110 × 259,110
  4. Step 4: Simplify right side
    118,608x = 67,137,992,100
  5. Step 5: Solve for x
    x = 67,137,992,100/118,608
  6. Step 6: Final answer
    x = 566,049.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.