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Finding the Third Proportional to 115,986 and 177,723

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Solution

The third proportional to 115,986 and 177,723 is: 272,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986 : 177,723 = 177,723 : x
  2. Step 2: Convert to fraction form
    115,986/177,723 = 177,723/x
  3. Step 3: Cross multiply
    115,986x = 177,723 × 177,723
  4. Step 4: Simplify right side
    115,986x = 31,585,464,729
  5. Step 5: Solve for x
    x = 31,585,464,729/115,986
  6. Step 6: Final answer
    x = 272,321.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.