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Finding the Third Proportional to 42,781 and 103,063

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Solution

The third proportional to 42,781 and 103,063 is: 248,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781 : 103,063 = 103,063 : x
  2. Step 2: Convert to fraction form
    42,781/103,063 = 103,063/x
  3. Step 3: Cross multiply
    42,781x = 103,063 × 103,063
  4. Step 4: Simplify right side
    42,781x = 10,621,981,969
  5. Step 5: Solve for x
    x = 10,621,981,969/42,781
  6. Step 6: Final answer
    x = 248,287.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.