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Finding the Third Proportional to 92,268.75 and 137,921.25

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Solution

The third proportional to 92,268.75 and 137,921.25 is: 206,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,268.75 : 137,921.25 = 137,921.25 : x
  2. Step 2: Convert to fraction form
    92,268.75/137,921.25 = 137,921.25/x
  3. Step 3: Cross multiply
    92,268.75x = 137,921.25 × 137,921.25
  4. Step 4: Simplify right side
    92,268.75x = 19,022,271,201.56
  5. Step 5: Solve for x
    x = 19,022,271,201.56/92,268.75
  6. Step 6: Final answer
    x = 206,161.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.