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Finding the Third Proportional to 47,213 and 104,917

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Solution

The third proportional to 47,213 and 104,917 is: 233,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,213 : 104,917 = 104,917 : x
  2. Step 2: Convert to fraction form
    47,213/104,917 = 104,917/x
  3. Step 3: Cross multiply
    47,213x = 104,917 × 104,917
  4. Step 4: Simplify right side
    47,213x = 11,007,576,889
  5. Step 5: Solve for x
    x = 11,007,576,889/47,213
  6. Step 6: Final answer
    x = 233,147.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.