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Finding the Third Proportional to 48,062 and 102,766

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Solution

The third proportional to 48,062 and 102,766 is: 219,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,062 : 102,766 = 102,766 : x
  2. Step 2: Convert to fraction form
    48,062/102,766 = 102,766/x
  3. Step 3: Cross multiply
    48,062x = 102,766 × 102,766
  4. Step 4: Simplify right side
    48,062x = 10,560,850,756
  5. Step 5: Solve for x
    x = 10,560,850,756/48,062
  6. Step 6: Final answer
    x = 219,733.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.