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Finding the Third Proportional to 49,817 and 107,775

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Solution

The third proportional to 49,817 and 107,775 is: 233,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,817 : 107,775 = 107,775 : x
  2. Step 2: Convert to fraction form
    49,817/107,775 = 107,775/x
  3. Step 3: Cross multiply
    49,817x = 107,775 × 107,775
  4. Step 4: Simplify right side
    49,817x = 11,615,450,625
  5. Step 5: Solve for x
    x = 11,615,450,625/49,817
  6. Step 6: Final answer
    x = 233,162.39

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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.