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Finding the Third Proportional to 57,268.50 and 86,010.75

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Solution

The third proportional to 57,268.50 and 86,010.75 is: 129,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,268.50 : 86,010.75 = 86,010.75 : x
  2. Step 2: Convert to fraction form
    57,268.50/86,010.75 = 86,010.75/x
  3. Step 3: Cross multiply
    57,268.50x = 86,010.75 × 86,010.75
  4. Step 4: Simplify right side
    57,268.50x = 7,397,849,115.56
  5. Step 5: Solve for x
    x = 7,397,849,115.56/57,268.50
  6. Step 6: Final answer
    x = 129,178.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.