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Finding the Third Proportional to 115,111 and 175,067

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Solution

The third proportional to 115,111 and 175,067 is: 266,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,111 : 175,067 = 175,067 : x
  2. Step 2: Convert to fraction form
    115,111/175,067 = 175,067/x
  3. Step 3: Cross multiply
    115,111x = 175,067 × 175,067
  4. Step 4: Simplify right side
    115,111x = 30,648,454,489
  5. Step 5: Solve for x
    x = 30,648,454,489/115,111
  6. Step 6: Final answer
    x = 266,251.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.