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Finding the Third Proportional to 47,694 and 103,596

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Solution

The third proportional to 47,694 and 103,596 is: 225,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694 : 103,596 = 103,596 : x
  2. Step 2: Convert to fraction form
    47,694/103,596 = 103,596/x
  3. Step 3: Cross multiply
    47,694x = 103,596 × 103,596
  4. Step 4: Simplify right side
    47,694x = 10,732,131,216
  5. Step 5: Solve for x
    x = 10,732,131,216/47,694
  6. Step 6: Final answer
    x = 225,020.57

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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.