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Finding the Third Proportional to 47,682 and 103,396

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Solution

The third proportional to 47,682 and 103,396 is: 224,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 103,396 = 103,396 : x
  2. Step 2: Convert to fraction form
    47,682/103,396 = 103,396/x
  3. Step 3: Cross multiply
    47,682x = 103,396 × 103,396
  4. Step 4: Simplify right side
    47,682x = 10,690,732,816
  5. Step 5: Solve for x
    x = 10,690,732,816/47,682
  6. Step 6: Final answer
    x = 224,208.98

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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.