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Finding the Third Proportional to 39,244 and 85,956

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Solution

The third proportional to 39,244 and 85,956 is: 188,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,244 : 85,956 = 85,956 : x
  2. Step 2: Convert to fraction form
    39,244/85,956 = 85,956/x
  3. Step 3: Cross multiply
    39,244x = 85,956 × 85,956
  4. Step 4: Simplify right side
    39,244x = 7,388,433,936
  5. Step 5: Solve for x
    x = 7,388,433,936/39,244
  6. Step 6: Final answer
    x = 188,269.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.