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Finding the Third Proportional to 50,838 and 107,484

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Solution

The third proportional to 50,838 and 107,484 is: 227,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,838 : 107,484 = 107,484 : x
  2. Step 2: Convert to fraction form
    50,838/107,484 = 107,484/x
  3. Step 3: Cross multiply
    50,838x = 107,484 × 107,484
  4. Step 4: Simplify right side
    50,838x = 11,552,810,256
  5. Step 5: Solve for x
    x = 11,552,810,256/50,838
  6. Step 6: Final answer
    x = 227,247.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.