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Finding the Third Proportional to 47,694 and 103,356

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Solution

The third proportional to 47,694 and 103,356 is: 223,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694 : 103,356 = 103,356 : x
  2. Step 2: Convert to fraction form
    47,694/103,356 = 103,356/x
  3. Step 3: Cross multiply
    47,694x = 103,356 × 103,356
  4. Step 4: Simplify right side
    47,694x = 10,682,462,736
  5. Step 5: Solve for x
    x = 10,682,462,736/47,694
  6. Step 6: Final answer
    x = 223,979.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.