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Finding the Third Proportional to 48,832 and 100,255

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Solution

The third proportional to 48,832 and 100,255 is: 205,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832 : 100,255 = 100,255 : x
  2. Step 2: Convert to fraction form
    48,832/100,255 = 100,255/x
  3. Step 3: Cross multiply
    48,832x = 100,255 × 100,255
  4. Step 4: Simplify right side
    48,832x = 10,051,065,025
  5. Step 5: Solve for x
    x = 10,051,065,025/48,832
  6. Step 6: Final answer
    x = 205,829.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.