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Finding the Third Proportional to 57,170 and 133,610

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Solution

The third proportional to 57,170 and 133,610 is: 312,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170 : 133,610 = 133,610 : x
  2. Step 2: Convert to fraction form
    57,170/133,610 = 133,610/x
  3. Step 3: Cross multiply
    57,170x = 133,610 × 133,610
  4. Step 4: Simplify right side
    57,170x = 17,851,632,100
  5. Step 5: Solve for x
    x = 17,851,632,100/57,170
  6. Step 6: Final answer
    x = 312,255.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.