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Finding the Third Proportional to 47,690 and 104,713

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Solution

The third proportional to 47,690 and 104,713 is: 229,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690 : 104,713 = 104,713 : x
  2. Step 2: Convert to fraction form
    47,690/104,713 = 104,713/x
  3. Step 3: Cross multiply
    47,690x = 104,713 × 104,713
  4. Step 4: Simplify right side
    47,690x = 10,964,812,369
  5. Step 5: Solve for x
    x = 10,964,812,369/47,690
  6. Step 6: Final answer
    x = 229,918.48

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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.