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Finding the Third Proportional to 60,860 and 131,170

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Solution

The third proportional to 60,860 and 131,170 is: 282,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,860 : 131,170 = 131,170 : x
  2. Step 2: Convert to fraction form
    60,860/131,170 = 131,170/x
  3. Step 3: Cross multiply
    60,860x = 131,170 × 131,170
  4. Step 4: Simplify right side
    60,860x = 17,205,568,900
  5. Step 5: Solve for x
    x = 17,205,568,900/60,860
  6. Step 6: Final answer
    x = 282,707.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.