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Finding the Third Proportional to 48,462 and 102,794

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Solution

The third proportional to 48,462 and 102,794 is: 218,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,462 : 102,794 = 102,794 : x
  2. Step 2: Convert to fraction form
    48,462/102,794 = 102,794/x
  3. Step 3: Cross multiply
    48,462x = 102,794 × 102,794
  4. Step 4: Simplify right side
    48,462x = 10,566,606,436
  5. Step 5: Solve for x
    x = 10,566,606,436/48,462
  6. Step 6: Final answer
    x = 218,039.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.