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Finding the Third Proportional to 125,986 and 202,995

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Solution

The third proportional to 125,986 and 202,995 is: 327,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,986 : 202,995 = 202,995 : x
  2. Step 2: Convert to fraction form
    125,986/202,995 = 202,995/x
  3. Step 3: Cross multiply
    125,986x = 202,995 × 202,995
  4. Step 4: Simplify right side
    125,986x = 41,206,970,025
  5. Step 5: Solve for x
    x = 41,206,970,025/125,986
  6. Step 6: Final answer
    x = 327,075.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.