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Finding the Third Proportional to 48,955 and 102,131

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Solution

The third proportional to 48,955 and 102,131 is: 213,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,955 : 102,131 = 102,131 : x
  2. Step 2: Convert to fraction form
    48,955/102,131 = 102,131/x
  3. Step 3: Cross multiply
    48,955x = 102,131 × 102,131
  4. Step 4: Simplify right side
    48,955x = 10,430,741,161
  5. Step 5: Solve for x
    x = 10,430,741,161/48,955
  6. Step 6: Final answer
    x = 213,067.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.