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Finding the Third Proportional to 47,517 and 104,565

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Solution

The third proportional to 47,517 and 104,565 is: 230,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,517 : 104,565 = 104,565 : x
  2. Step 2: Convert to fraction form
    47,517/104,565 = 104,565/x
  3. Step 3: Cross multiply
    47,517x = 104,565 × 104,565
  4. Step 4: Simplify right side
    47,517x = 10,933,839,225
  5. Step 5: Solve for x
    x = 10,933,839,225/47,517
  6. Step 6: Final answer
    x = 230,103.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.