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Finding the Third Proportional to 47,683 and 104,701

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Solution

The third proportional to 47,683 and 104,701 is: 229,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683 : 104,701 = 104,701 : x
  2. Step 2: Convert to fraction form
    47,683/104,701 = 104,701/x
  3. Step 3: Cross multiply
    47,683x = 104,701 × 104,701
  4. Step 4: Simplify right side
    47,683x = 10,962,299,401
  5. Step 5: Solve for x
    x = 10,962,299,401/47,683
  6. Step 6: Final answer
    x = 229,899.53

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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.