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Finding the Third Proportional to 75,625 and 95,571.75

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Solution

The third proportional to 75,625 and 95,571.75 is: 120,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,625 : 95,571.75 = 95,571.75 : x
  2. Step 2: Convert to fraction form
    75,625/95,571.75 = 95,571.75/x
  3. Step 3: Cross multiply
    75,625x = 95,571.75 × 95,571.75
  4. Step 4: Simplify right side
    75,625x = 9,133,959,398.06
  5. Step 5: Solve for x
    x = 9,133,959,398.06/75,625
  6. Step 6: Final answer
    x = 120,779.63

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.