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Finding the Third Proportional to 75,011 and 160,067

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Solution

The third proportional to 75,011 and 160,067 is: 341,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,011 : 160,067 = 160,067 : x
  2. Step 2: Convert to fraction form
    75,011/160,067 = 160,067/x
  3. Step 3: Cross multiply
    75,011x = 160,067 × 160,067
  4. Step 4: Simplify right side
    75,011x = 25,621,444,489
  5. Step 5: Solve for x
    x = 25,621,444,489/75,011
  6. Step 6: Final answer
    x = 341,569.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.