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Finding the Third Proportional to 66,676 and 142,280

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Solution

The third proportional to 66,676 and 142,280 is: 303,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676 : 142,280 = 142,280 : x
  2. Step 2: Convert to fraction form
    66,676/142,280 = 142,280/x
  3. Step 3: Cross multiply
    66,676x = 142,280 × 142,280
  4. Step 4: Simplify right side
    66,676x = 20,243,598,400
  5. Step 5: Solve for x
    x = 20,243,598,400/66,676
  6. Step 6: Final answer
    x = 303,611.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.