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Finding the Third Proportional to 49,758 and 96,996

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Solution

The third proportional to 49,758 and 96,996 is: 189,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,758 : 96,996 = 96,996 : x
  2. Step 2: Convert to fraction form
    49,758/96,996 = 96,996/x
  3. Step 3: Cross multiply
    49,758x = 96,996 × 96,996
  4. Step 4: Simplify right side
    49,758x = 9,408,224,016
  5. Step 5: Solve for x
    x = 9,408,224,016/49,758
  6. Step 6: Final answer
    x = 189,079.63

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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.