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Finding the Third Proportional to 50,780 and 111,280

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Solution

The third proportional to 50,780 and 111,280 is: 243,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,780 : 111,280 = 111,280 : x
  2. Step 2: Convert to fraction form
    50,780/111,280 = 111,280/x
  3. Step 3: Cross multiply
    50,780x = 111,280 × 111,280
  4. Step 4: Simplify right side
    50,780x = 12,383,238,400
  5. Step 5: Solve for x
    x = 12,383,238,400/50,780
  6. Step 6: Final answer
    x = 243,860.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.