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Finding the Third Proportional to 43,096 and 66,966

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Solution

The third proportional to 43,096 and 66,966 is: 104,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096 : 66,966 = 66,966 : x
  2. Step 2: Convert to fraction form
    43,096/66,966 = 66,966/x
  3. Step 3: Cross multiply
    43,096x = 66,966 × 66,966
  4. Step 4: Simplify right side
    43,096x = 4,484,445,156
  5. Step 5: Solve for x
    x = 4,484,445,156/43,096
  6. Step 6: Final answer
    x = 104,057.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.