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Finding the Third Proportional to 107,969 and 158,794

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Solution

The third proportional to 107,969 and 158,794 is: 233,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,969 : 158,794 = 158,794 : x
  2. Step 2: Convert to fraction form
    107,969/158,794 = 158,794/x
  3. Step 3: Cross multiply
    107,969x = 158,794 × 158,794
  4. Step 4: Simplify right side
    107,969x = 25,215,534,436
  5. Step 5: Solve for x
    x = 25,215,534,436/107,969
  6. Step 6: Final answer
    x = 233,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.