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Finding the Third Proportional to 66,244 and 141,956

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Solution

The third proportional to 66,244 and 141,956 is: 304,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,244 : 141,956 = 141,956 : x
  2. Step 2: Convert to fraction form
    66,244/141,956 = 141,956/x
  3. Step 3: Cross multiply
    66,244x = 141,956 × 141,956
  4. Step 4: Simplify right side
    66,244x = 20,151,505,936
  5. Step 5: Solve for x
    x = 20,151,505,936/66,244
  6. Step 6: Final answer
    x = 304,201.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.