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Finding the Third Proportional to 47,420 and 102,193

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Solution

The third proportional to 47,420 and 102,193 is: 220,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420 : 102,193 = 102,193 : x
  2. Step 2: Convert to fraction form
    47,420/102,193 = 102,193/x
  3. Step 3: Cross multiply
    47,420x = 102,193 × 102,193
  4. Step 4: Simplify right side
    47,420x = 10,443,409,249
  5. Step 5: Solve for x
    x = 10,443,409,249/47,420
  6. Step 6: Final answer
    x = 220,232.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.