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Finding the Third Proportional to 57,180 and 125,994

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Solution

The third proportional to 57,180 and 125,994 is: 277,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180 : 125,994 = 125,994 : x
  2. Step 2: Convert to fraction form
    57,180/125,994 = 125,994/x
  3. Step 3: Cross multiply
    57,180x = 125,994 × 125,994
  4. Step 4: Simplify right side
    57,180x = 15,874,488,036
  5. Step 5: Solve for x
    x = 15,874,488,036/57,180
  6. Step 6: Final answer
    x = 277,623.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.