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Finding the Third Proportional to 50,817 and 76,600.50

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Solution

The third proportional to 50,817 and 76,600.50 is: 115,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,817 : 76,600.50 = 76,600.50 : x
  2. Step 2: Convert to fraction form
    50,817/76,600.50 = 76,600.50/x
  3. Step 3: Cross multiply
    50,817x = 76,600.50 × 76,600.50
  4. Step 4: Simplify right side
    50,817x = 5,867,636,600.25
  5. Step 5: Solve for x
    x = 5,867,636,600.25/50,817
  6. Step 6: Final answer
    x = 115,466.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.