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Finding the Third Proportional to 49,321 and 107,869

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Solution

The third proportional to 49,321 and 107,869 is: 235,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321 : 107,869 = 107,869 : x
  2. Step 2: Convert to fraction form
    49,321/107,869 = 107,869/x
  3. Step 3: Cross multiply
    49,321x = 107,869 × 107,869
  4. Step 4: Simplify right side
    49,321x = 11,635,721,161
  5. Step 5: Solve for x
    x = 11,635,721,161/49,321
  6. Step 6: Final answer
    x = 235,918.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.