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Finding the Third Proportional to 49,383 and 106,488

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Solution

The third proportional to 49,383 and 106,488 is: 229,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383 : 106,488 = 106,488 : x
  2. Step 2: Convert to fraction form
    49,383/106,488 = 106,488/x
  3. Step 3: Cross multiply
    49,383x = 106,488 × 106,488
  4. Step 4: Simplify right side
    49,383x = 11,339,694,144
  5. Step 5: Solve for x
    x = 11,339,694,144/49,383
  6. Step 6: Final answer
    x = 229,627.49

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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.