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Finding the Third Proportional to 43,050 and 67,876

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Solution

The third proportional to 43,050 and 67,876 is: 107,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 67,876 = 67,876 : x
  2. Step 2: Convert to fraction form
    43,050/67,876 = 67,876/x
  3. Step 3: Cross multiply
    43,050x = 67,876 × 67,876
  4. Step 4: Simplify right side
    43,050x = 4,607,151,376
  5. Step 5: Solve for x
    x = 4,607,151,376/43,050
  6. Step 6: Final answer
    x = 107,018.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.