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Finding the Third Proportional to 43,236 and 56,105

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Solution

The third proportional to 43,236 and 56,105 is: 72,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,236 : 56,105 = 56,105 : x
  2. Step 2: Convert to fraction form
    43,236/56,105 = 56,105/x
  3. Step 3: Cross multiply
    43,236x = 56,105 × 56,105
  4. Step 4: Simplify right side
    43,236x = 3,147,771,025
  5. Step 5: Solve for x
    x = 3,147,771,025/43,236
  6. Step 6: Final answer
    x = 72,804.40

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.