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Finding the Third Proportional to 50,085 and 107,073

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Solution

The third proportional to 50,085 and 107,073 is: 228,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,085 : 107,073 = 107,073 : x
  2. Step 2: Convert to fraction form
    50,085/107,073 = 107,073/x
  3. Step 3: Cross multiply
    50,085x = 107,073 × 107,073
  4. Step 4: Simplify right side
    50,085x = 11,464,627,329
  5. Step 5: Solve for x
    x = 11,464,627,329/50,085
  6. Step 6: Final answer
    x = 228,903.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.