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Finding the Third Proportional to 45,880 and 67,966

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Solution

The third proportional to 45,880 and 67,966 is: 100,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,880 : 67,966 = 67,966 : x
  2. Step 2: Convert to fraction form
    45,880/67,966 = 67,966/x
  3. Step 3: Cross multiply
    45,880x = 67,966 × 67,966
  4. Step 4: Simplify right side
    45,880x = 4,619,377,156
  5. Step 5: Solve for x
    x = 4,619,377,156/45,880
  6. Step 6: Final answer
    x = 100,683.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.