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Finding the Third Proportional to 49,554 and 96,615

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Solution

The third proportional to 49,554 and 96,615 is: 188,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,554 : 96,615 = 96,615 : x
  2. Step 2: Convert to fraction form
    49,554/96,615 = 96,615/x
  3. Step 3: Cross multiply
    49,554x = 96,615 × 96,615
  4. Step 4: Simplify right side
    49,554x = 9,334,458,225
  5. Step 5: Solve for x
    x = 9,334,458,225/49,554
  6. Step 6: Final answer
    x = 188,369.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.