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Finding the Third Proportional to 50,226 and 68,869.50

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Solution

The third proportional to 50,226 and 68,869.50 is: 94,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226 : 68,869.50 = 68,869.50 : x
  2. Step 2: Convert to fraction form
    50,226/68,869.50 = 68,869.50/x
  3. Step 3: Cross multiply
    50,226x = 68,869.50 × 68,869.50
  4. Step 4: Simplify right side
    50,226x = 4,743,008,030.25
  5. Step 5: Solve for x
    x = 4,743,008,030.25/50,226
  6. Step 6: Final answer
    x = 94,433.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.