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Finding the Third Proportional to 48,694 and 102,306

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Solution

The third proportional to 48,694 and 102,306 is: 214,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694 : 102,306 = 102,306 : x
  2. Step 2: Convert to fraction form
    48,694/102,306 = 102,306/x
  3. Step 3: Cross multiply
    48,694x = 102,306 × 102,306
  4. Step 4: Simplify right side
    48,694x = 10,466,517,636
  5. Step 5: Solve for x
    x = 10,466,517,636/48,694
  6. Step 6: Final answer
    x = 214,944.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.