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Finding the Third Proportional to 49,508 and 106,824

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Solution

The third proportional to 49,508 and 106,824 is: 230,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,508 : 106,824 = 106,824 : x
  2. Step 2: Convert to fraction form
    49,508/106,824 = 106,824/x
  3. Step 3: Cross multiply
    49,508x = 106,824 × 106,824
  4. Step 4: Simplify right side
    49,508x = 11,411,366,976
  5. Step 5: Solve for x
    x = 11,411,366,976/49,508
  6. Step 6: Final answer
    x = 230,495.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.