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Finding the Third Proportional to 55,794 and 115,450

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Solution

The third proportional to 55,794 and 115,450 is: 238,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794 : 115,450 = 115,450 : x
  2. Step 2: Convert to fraction form
    55,794/115,450 = 115,450/x
  3. Step 3: Cross multiply
    55,794x = 115,450 × 115,450
  4. Step 4: Simplify right side
    55,794x = 13,328,702,500
  5. Step 5: Solve for x
    x = 13,328,702,500/55,794
  6. Step 6: Final answer
    x = 238,891.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.