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Finding the Third Proportional to 64,091.25 and 140,268.38

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Solution

The third proportional to 64,091.25 and 140,268.38 is: 306,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,091.25 : 140,268.38 = 140,268.38 : x
  2. Step 2: Convert to fraction form
    64,091.25/140,268.38 = 140,268.38/x
  3. Step 3: Cross multiply
    64,091.25x = 140,268.38 × 140,268.38
  4. Step 4: Simplify right side
    64,091.25x = 19,675,217,025.14
  5. Step 5: Solve for x
    x = 19,675,217,025.14/64,091.25
  6. Step 6: Final answer
    x = 306,987.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.