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Finding the Third Proportional to 115,012 and 158,375

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Solution

The third proportional to 115,012 and 158,375 is: 218,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,012 : 158,375 = 158,375 : x
  2. Step 2: Convert to fraction form
    115,012/158,375 = 158,375/x
  3. Step 3: Cross multiply
    115,012x = 158,375 × 158,375
  4. Step 4: Simplify right side
    115,012x = 25,082,640,625
  5. Step 5: Solve for x
    x = 25,082,640,625/115,012
  6. Step 6: Final answer
    x = 218,087.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.