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Finding the Third Proportional to 62,956 and 127,736

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Solution

The third proportional to 62,956 and 127,736 is: 259,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,956 : 127,736 = 127,736 : x
  2. Step 2: Convert to fraction form
    62,956/127,736 = 127,736/x
  3. Step 3: Cross multiply
    62,956x = 127,736 × 127,736
  4. Step 4: Simplify right side
    62,956x = 16,316,485,696
  5. Step 5: Solve for x
    x = 16,316,485,696/62,956
  6. Step 6: Final answer
    x = 259,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.