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Finding the Third Proportional to 144,093 and 313,103

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Solution

The third proportional to 144,093 and 313,103 is: 680,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093 : 313,103 = 313,103 : x
  2. Step 2: Convert to fraction form
    144,093/313,103 = 313,103/x
  3. Step 3: Cross multiply
    144,093x = 313,103 × 313,103
  4. Step 4: Simplify right side
    144,093x = 98,033,488,609
  5. Step 5: Solve for x
    x = 98,033,488,609/144,093
  6. Step 6: Final answer
    x = 680,348.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.