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Finding the Third Proportional to 50,622 and 112,906.50

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Solution

The third proportional to 50,622 and 112,906.50 is: 251,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,622 : 112,906.50 = 112,906.50 : x
  2. Step 2: Convert to fraction form
    50,622/112,906.50 = 112,906.50/x
  3. Step 3: Cross multiply
    50,622x = 112,906.50 × 112,906.50
  4. Step 4: Simplify right side
    50,622x = 12,747,877,742.25
  5. Step 5: Solve for x
    x = 12,747,877,742.25/50,622
  6. Step 6: Final answer
    x = 251,824.85

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.