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Finding the Third Proportional to 50,168 and 108,176

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Solution

The third proportional to 50,168 and 108,176 is: 233,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,168 : 108,176 = 108,176 : x
  2. Step 2: Convert to fraction form
    50,168/108,176 = 108,176/x
  3. Step 3: Cross multiply
    50,168x = 108,176 × 108,176
  4. Step 4: Simplify right side
    50,168x = 11,702,046,976
  5. Step 5: Solve for x
    x = 11,702,046,976/50,168
  6. Step 6: Final answer
    x = 233,257.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.