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Finding the Third Proportional to 26,256 and 56,112

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Solution

The third proportional to 26,256 and 56,112 is: 119,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 56,112 = 56,112 : x
  2. Step 2: Convert to fraction form
    26,256/56,112 = 56,112/x
  3. Step 3: Cross multiply
    26,256x = 56,112 × 56,112
  4. Step 4: Simplify right side
    26,256x = 3,148,556,544
  5. Step 5: Solve for x
    x = 3,148,556,544/26,256
  6. Step 6: Final answer
    x = 119,917.60

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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.