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Finding the Third Proportional to 49,599 and 107,943

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Solution

The third proportional to 49,599 and 107,943 is: 234,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,599 : 107,943 = 107,943 : x
  2. Step 2: Convert to fraction form
    49,599/107,943 = 107,943/x
  3. Step 3: Cross multiply
    49,599x = 107,943 × 107,943
  4. Step 4: Simplify right side
    49,599x = 11,651,691,249
  5. Step 5: Solve for x
    x = 11,651,691,249/49,599
  6. Step 6: Final answer
    x = 234,917.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.