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Finding the Third Proportional to 103,886 and 155,949

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Solution

The third proportional to 103,886 and 155,949 is: 234,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886 : 155,949 = 155,949 : x
  2. Step 2: Convert to fraction form
    103,886/155,949 = 155,949/x
  3. Step 3: Cross multiply
    103,886x = 155,949 × 155,949
  4. Step 4: Simplify right side
    103,886x = 24,320,090,601
  5. Step 5: Solve for x
    x = 24,320,090,601/103,886
  6. Step 6: Final answer
    x = 234,103.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.