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Finding the Third Proportional to 107,083.50 and 140,727.75

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Solution

The third proportional to 107,083.50 and 140,727.75 is: 184,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,083.50 : 140,727.75 = 140,727.75 : x
  2. Step 2: Convert to fraction form
    107,083.50/140,727.75 = 140,727.75/x
  3. Step 3: Cross multiply
    107,083.50x = 140,727.75 × 140,727.75
  4. Step 4: Simplify right side
    107,083.50x = 19,804,299,620.06
  5. Step 5: Solve for x
    x = 19,804,299,620.06/107,083.50
  6. Step 6: Final answer
    x = 184,942.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.