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Finding the Third Proportional to 26,842 and 56,132

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Solution

The third proportional to 26,842 and 56,132 is: 117,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842 : 56,132 = 56,132 : x
  2. Step 2: Convert to fraction form
    26,842/56,132 = 56,132/x
  3. Step 3: Cross multiply
    26,842x = 56,132 × 56,132
  4. Step 4: Simplify right side
    26,842x = 3,150,801,424
  5. Step 5: Solve for x
    x = 3,150,801,424/26,842
  6. Step 6: Final answer
    x = 117,383.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.