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Finding the Third Proportional to 75,216.09 and 160,091.44

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Solution

The third proportional to 75,216.09 and 160,091.44 is: 340,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.09 : 160,091.44 = 160,091.44 : x
  2. Step 2: Convert to fraction form
    75,216.09/160,091.44 = 160,091.44/x
  3. Step 3: Cross multiply
    75,216.09x = 160,091.44 × 160,091.44
  4. Step 4: Simplify right side
    75,216.09x = 25,629,268,360.82
  5. Step 5: Solve for x
    x = 25,629,268,360.82/75,216.09
  6. Step 6: Final answer
    x = 340,741.82

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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.