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Finding the Third Proportional to 44,986 and 107,442

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Solution

The third proportional to 44,986 and 107,442 is: 256,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,986 : 107,442 = 107,442 : x
  2. Step 2: Convert to fraction form
    44,986/107,442 = 107,442/x
  3. Step 3: Cross multiply
    44,986x = 107,442 × 107,442
  4. Step 4: Simplify right side
    44,986x = 11,543,783,364
  5. Step 5: Solve for x
    x = 11,543,783,364/44,986
  6. Step 6: Final answer
    x = 256,608.35

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.