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Finding the Third Proportional to 87,035.77 and 182,067.75

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Solution

The third proportional to 87,035.77 and 182,067.75 is: 380,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,035.77 : 182,067.75 = 182,067.75 : x
  2. Step 2: Convert to fraction form
    87,035.77/182,067.75 = 182,067.75/x
  3. Step 3: Cross multiply
    87,035.77x = 182,067.75 × 182,067.75
  4. Step 4: Simplify right side
    87,035.77x = 33,148,665,590.06
  5. Step 5: Solve for x
    x = 33,148,665,590.06/87,035.77
  6. Step 6: Final answer
    x = 380,862.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.