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Finding the Third Proportional to 73,954 and 115,857

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Solution

The third proportional to 73,954 and 115,857 is: 181,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954 : 115,857 = 115,857 : x
  2. Step 2: Convert to fraction form
    73,954/115,857 = 115,857/x
  3. Step 3: Cross multiply
    73,954x = 115,857 × 115,857
  4. Step 4: Simplify right side
    73,954x = 13,422,844,449
  5. Step 5: Solve for x
    x = 13,422,844,449/73,954
  6. Step 6: Final answer
    x = 181,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.