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Finding the Third Proportional to 119,147.63 and 175,949.44

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Solution

The third proportional to 119,147.63 and 175,949.44 is: 259,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147.63 : 175,949.44 = 175,949.44 : x
  2. Step 2: Convert to fraction form
    119,147.63/175,949.44 = 175,949.44/x
  3. Step 3: Cross multiply
    119,147.63x = 175,949.44 × 175,949.44
  4. Step 4: Simplify right side
    119,147.63x = 30,958,204,556.57
  5. Step 5: Solve for x
    x = 30,958,204,556.57/119,147.63
  6. Step 6: Final answer
    x = 259,830.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.