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Finding the Third Proportional to 50,286 and 106,403.25

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Solution

The third proportional to 50,286 and 106,403.25 is: 225,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,286 : 106,403.25 = 106,403.25 : x
  2. Step 2: Convert to fraction form
    50,286/106,403.25 = 106,403.25/x
  3. Step 3: Cross multiply
    50,286x = 106,403.25 × 106,403.25
  4. Step 4: Simplify right side
    50,286x = 11,321,651,610.56
  5. Step 5: Solve for x
    x = 11,321,651,610.56/50,286
  6. Step 6: Final answer
    x = 225,145.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.