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Finding the Third Proportional to 43,236 and 66,767

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Solution

The third proportional to 43,236 and 66,767 is: 103,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,236 : 66,767 = 66,767 : x
  2. Step 2: Convert to fraction form
    43,236/66,767 = 66,767/x
  3. Step 3: Cross multiply
    43,236x = 66,767 × 66,767
  4. Step 4: Simplify right side
    43,236x = 4,457,832,289
  5. Step 5: Solve for x
    x = 4,457,832,289/43,236
  6. Step 6: Final answer
    x = 103,104.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.