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Finding the Third Proportional to 47,504 and 102,025

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Solution

The third proportional to 47,504 and 102,025 is: 219,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 102,025 = 102,025 : x
  2. Step 2: Convert to fraction form
    47,504/102,025 = 102,025/x
  3. Step 3: Cross multiply
    47,504x = 102,025 × 102,025
  4. Step 4: Simplify right side
    47,504x = 10,409,100,625
  5. Step 5: Solve for x
    x = 10,409,100,625/47,504
  6. Step 6: Final answer
    x = 219,120.51

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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.