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Finding the Third Proportional to 87,296 and 130,800

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Solution

The third proportional to 87,296 and 130,800 is: 195,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296 : 130,800 = 130,800 : x
  2. Step 2: Convert to fraction form
    87,296/130,800 = 130,800/x
  3. Step 3: Cross multiply
    87,296x = 130,800 × 130,800
  4. Step 4: Simplify right side
    87,296x = 17,108,640,000
  5. Step 5: Solve for x
    x = 17,108,640,000/87,296
  6. Step 6: Final answer
    x = 195,984.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.