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Finding the Third Proportional to 50,280 and 108,288

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Solution

The third proportional to 50,280 and 108,288 is: 233,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,280 : 108,288 = 108,288 : x
  2. Step 2: Convert to fraction form
    50,280/108,288 = 108,288/x
  3. Step 3: Cross multiply
    50,280x = 108,288 × 108,288
  4. Step 4: Simplify right side
    50,280x = 11,726,290,944
  5. Step 5: Solve for x
    x = 11,726,290,944/50,280
  6. Step 6: Final answer
    x = 233,219.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.