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Finding the Third Proportional to 79,986 and 174,993

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Solution

The third proportional to 79,986 and 174,993 is: 382,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,986 : 174,993 = 174,993 : x
  2. Step 2: Convert to fraction form
    79,986/174,993 = 174,993/x
  3. Step 3: Cross multiply
    79,986x = 174,993 × 174,993
  4. Step 4: Simplify right side
    79,986x = 30,622,550,049
  5. Step 5: Solve for x
    x = 30,622,550,049/79,986
  6. Step 6: Final answer
    x = 382,848.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.