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Finding the Third Proportional to 45,505 and 67,906.50

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Solution

The third proportional to 45,505 and 67,906.50 is: 101,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505 : 67,906.50 = 67,906.50 : x
  2. Step 2: Convert to fraction form
    45,505/67,906.50 = 67,906.50/x
  3. Step 3: Cross multiply
    45,505x = 67,906.50 × 67,906.50
  4. Step 4: Simplify right side
    45,505x = 4,611,292,742.25
  5. Step 5: Solve for x
    x = 4,611,292,742.25/45,505
  6. Step 6: Final answer
    x = 101,335.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.