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Finding the Third Proportional to 27,296 and 59,200

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Solution

The third proportional to 27,296 and 59,200 is: 128,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296 : 59,200 = 59,200 : x
  2. Step 2: Convert to fraction form
    27,296/59,200 = 59,200/x
  3. Step 3: Cross multiply
    27,296x = 59,200 × 59,200
  4. Step 4: Simplify right side
    27,296x = 3,504,640,000
  5. Step 5: Solve for x
    x = 3,504,640,000/27,296
  6. Step 6: Final answer
    x = 128,393.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.