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Finding the Third Proportional to 27,194 and 56,080

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Solution

The third proportional to 27,194 and 56,080 is: 115,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 56,080 = 56,080 : x
  2. Step 2: Convert to fraction form
    27,194/56,080 = 56,080/x
  3. Step 3: Cross multiply
    27,194x = 56,080 × 56,080
  4. Step 4: Simplify right side
    27,194x = 3,144,966,400
  5. Step 5: Solve for x
    x = 3,144,966,400/27,194
  6. Step 6: Final answer
    x = 115,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.