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Finding the Third Proportional to 47,880 and 104,344

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Solution

The third proportional to 47,880 and 104,344 is: 227,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 104,344 = 104,344 : x
  2. Step 2: Convert to fraction form
    47,880/104,344 = 104,344/x
  3. Step 3: Cross multiply
    47,880x = 104,344 × 104,344
  4. Step 4: Simplify right side
    47,880x = 10,887,670,336
  5. Step 5: Solve for x
    x = 10,887,670,336/47,880
  6. Step 6: Final answer
    x = 227,394.95

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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.