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Finding the Third Proportional to 47,326 and 101,942

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Solution

The third proportional to 47,326 and 101,942 is: 219,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326 : 101,942 = 101,942 : x
  2. Step 2: Convert to fraction form
    47,326/101,942 = 101,942/x
  3. Step 3: Cross multiply
    47,326x = 101,942 × 101,942
  4. Step 4: Simplify right side
    47,326x = 10,392,171,364
  5. Step 5: Solve for x
    x = 10,392,171,364/47,326
  6. Step 6: Final answer
    x = 219,586.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.