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Finding the Third Proportional to 57,375 and 80,932.50

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Solution

The third proportional to 57,375 and 80,932.50 is: 114,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375 : 80,932.50 = 80,932.50 : x
  2. Step 2: Convert to fraction form
    57,375/80,932.50 = 80,932.50/x
  3. Step 3: Cross multiply
    57,375x = 80,932.50 × 80,932.50
  4. Step 4: Simplify right side
    57,375x = 6,550,069,556.25
  5. Step 5: Solve for x
    x = 6,550,069,556.25/57,375
  6. Step 6: Final answer
    x = 114,162.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.