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Finding the Third Proportional to 118,859 and 259,042

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Solution

The third proportional to 118,859 and 259,042 is: 564,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,859 : 259,042 = 259,042 : x
  2. Step 2: Convert to fraction form
    118,859/259,042 = 259,042/x
  3. Step 3: Cross multiply
    118,859x = 259,042 × 259,042
  4. Step 4: Simplify right side
    118,859x = 67,102,757,764
  5. Step 5: Solve for x
    x = 67,102,757,764/118,859
  6. Step 6: Final answer
    x = 564,557.65

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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.