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Finding the Third Proportional to 35,356 and 77,067

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Solution

The third proportional to 35,356 and 77,067 is: 167,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356 : 77,067 = 77,067 : x
  2. Step 2: Convert to fraction form
    35,356/77,067 = 77,067/x
  3. Step 3: Cross multiply
    35,356x = 77,067 × 77,067
  4. Step 4: Simplify right side
    35,356x = 5,939,322,489
  5. Step 5: Solve for x
    x = 5,939,322,489/35,356
  6. Step 6: Final answer
    x = 167,986.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.