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Finding the Third Proportional to 47,357 and 102,093

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Solution

The third proportional to 47,357 and 102,093 is: 220,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357 : 102,093 = 102,093 : x
  2. Step 2: Convert to fraction form
    47,357/102,093 = 102,093/x
  3. Step 3: Cross multiply
    47,357x = 102,093 × 102,093
  4. Step 4: Simplify right side
    47,357x = 10,422,980,649
  5. Step 5: Solve for x
    x = 10,422,980,649/47,357
  6. Step 6: Final answer
    x = 220,093.77

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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.