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Finding the Third Proportional to 50,180 and 108,280

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Solution

The third proportional to 50,180 and 108,280 is: 233,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,180 : 108,280 = 108,280 : x
  2. Step 2: Convert to fraction form
    50,180/108,280 = 108,280/x
  3. Step 3: Cross multiply
    50,180x = 108,280 × 108,280
  4. Step 4: Simplify right side
    50,180x = 11,724,558,400
  5. Step 5: Solve for x
    x = 11,724,558,400/50,180
  6. Step 6: Final answer
    x = 233,650.03

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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.