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Finding the Third Proportional to 47,837 and 104,418

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Solution

The third proportional to 47,837 and 104,418 is: 227,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,837 : 104,418 = 104,418 : x
  2. Step 2: Convert to fraction form
    47,837/104,418 = 104,418/x
  3. Step 3: Cross multiply
    47,837x = 104,418 × 104,418
  4. Step 4: Simplify right side
    47,837x = 10,903,118,724
  5. Step 5: Solve for x
    x = 10,903,118,724/47,837
  6. Step 6: Final answer
    x = 227,922.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.