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Finding the Third Proportional to 49,959 and 107,004

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Solution

The third proportional to 49,959 and 107,004 is: 229,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 107,004 = 107,004 : x
  2. Step 2: Convert to fraction form
    49,959/107,004 = 107,004/x
  3. Step 3: Cross multiply
    49,959x = 107,004 × 107,004
  4. Step 4: Simplify right side
    49,959x = 11,449,856,016
  5. Step 5: Solve for x
    x = 11,449,856,016/49,959
  6. Step 6: Final answer
    x = 229,185.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.