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Finding the Third Proportional to 47,947 and 104,643

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Solution

The third proportional to 47,947 and 104,643 is: 228,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,947 : 104,643 = 104,643 : x
  2. Step 2: Convert to fraction form
    47,947/104,643 = 104,643/x
  3. Step 3: Cross multiply
    47,947x = 104,643 × 104,643
  4. Step 4: Simplify right side
    47,947x = 10,950,157,449
  5. Step 5: Solve for x
    x = 10,950,157,449/47,947
  6. Step 6: Final answer
    x = 228,380.45

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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.