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Finding the Third Proportional to 48,956 and 102,132

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Solution

The third proportional to 48,956 and 102,132 is: 213,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,956 : 102,132 = 102,132 : x
  2. Step 2: Convert to fraction form
    48,956/102,132 = 102,132/x
  3. Step 3: Cross multiply
    48,956x = 102,132 × 102,132
  4. Step 4: Simplify right side
    48,956x = 10,430,945,424
  5. Step 5: Solve for x
    x = 10,430,945,424/48,956
  6. Step 6: Final answer
    x = 213,067.76

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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.