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Finding the Third Proportional to 50,890 and 112,112

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Solution

The third proportional to 50,890 and 112,112 is: 246,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890 : 112,112 = 112,112 : x
  2. Step 2: Convert to fraction form
    50,890/112,112 = 112,112/x
  3. Step 3: Cross multiply
    50,890x = 112,112 × 112,112
  4. Step 4: Simplify right side
    50,890x = 12,569,100,544
  5. Step 5: Solve for x
    x = 12,569,100,544/50,890
  6. Step 6: Final answer
    x = 246,985.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.