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Finding the Third Proportional to 50,083.13 and 102,021.75

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Solution

The third proportional to 50,083.13 and 102,021.75 is: 207,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,083.13 : 102,021.75 = 102,021.75 : x
  2. Step 2: Convert to fraction form
    50,083.13/102,021.75 = 102,021.75/x
  3. Step 3: Cross multiply
    50,083.13x = 102,021.75 × 102,021.75
  4. Step 4: Simplify right side
    50,083.13x = 10,408,437,473.06
  5. Step 5: Solve for x
    x = 10,408,437,473.06/50,083.13
  6. Step 6: Final answer
    x = 207,823.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.