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Finding the Third Proportional to 47,380 and 102,050

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Solution

The third proportional to 47,380 and 102,050 is: 219,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380 : 102,050 = 102,050 : x
  2. Step 2: Convert to fraction form
    47,380/102,050 = 102,050/x
  3. Step 3: Cross multiply
    47,380x = 102,050 × 102,050
  4. Step 4: Simplify right side
    47,380x = 10,414,202,500
  5. Step 5: Solve for x
    x = 10,414,202,500/47,380
  6. Step 6: Final answer
    x = 219,801.66

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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.