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Finding the Third Proportional to 47,940 and 104,628

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Solution

The third proportional to 47,940 and 104,628 is: 228,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940 : 104,628 = 104,628 : x
  2. Step 2: Convert to fraction form
    47,940/104,628 = 104,628/x
  3. Step 3: Cross multiply
    47,940x = 104,628 × 104,628
  4. Step 4: Simplify right side
    47,940x = 10,947,018,384
  5. Step 5: Solve for x
    x = 10,947,018,384/47,940
  6. Step 6: Final answer
    x = 228,348.32

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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.