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Finding the Third Proportional to 26,194 and 53,900

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Solution

The third proportional to 26,194 and 53,900 is: 110,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194 : 53,900 = 53,900 : x
  2. Step 2: Convert to fraction form
    26,194/53,900 = 53,900/x
  3. Step 3: Cross multiply
    26,194x = 53,900 × 53,900
  4. Step 4: Simplify right side
    26,194x = 2,905,210,000
  5. Step 5: Solve for x
    x = 2,905,210,000/26,194
  6. Step 6: Final answer
    x = 110,911.28

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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.