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Finding the Third Proportional to 106,749 and 229,993

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Solution

The third proportional to 106,749 and 229,993 is: 495,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749 : 229,993 = 229,993 : x
  2. Step 2: Convert to fraction form
    106,749/229,993 = 229,993/x
  3. Step 3: Cross multiply
    106,749x = 229,993 × 229,993
  4. Step 4: Simplify right side
    106,749x = 52,896,780,049
  5. Step 5: Solve for x
    x = 52,896,780,049/106,749
  6. Step 6: Final answer
    x = 495,524.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.