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Finding the Third Proportional to 43,381 and 59,099

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Solution

The third proportional to 43,381 and 59,099 is: 80,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,381 : 59,099 = 59,099 : x
  2. Step 2: Convert to fraction form
    43,381/59,099 = 59,099/x
  3. Step 3: Cross multiply
    43,381x = 59,099 × 59,099
  4. Step 4: Simplify right side
    43,381x = 3,492,691,801
  5. Step 5: Solve for x
    x = 3,492,691,801/43,381
  6. Step 6: Final answer
    x = 80,512.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.