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Finding the Third Proportional to 100,965.75 and 158,399.25

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Solution

The third proportional to 100,965.75 and 158,399.25 is: 248,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965.75 : 158,399.25 = 158,399.25 : x
  2. Step 2: Convert to fraction form
    100,965.75/158,399.25 = 158,399.25/x
  3. Step 3: Cross multiply
    100,965.75x = 158,399.25 × 158,399.25
  4. Step 4: Simplify right side
    100,965.75x = 25,090,322,400.56
  5. Step 5: Solve for x
    x = 25,090,322,400.56/100,965.75
  6. Step 6: Final answer
    x = 248,503.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.