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Finding the Third Proportional to 27,104 and 59,152

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Solution

The third proportional to 27,104 and 59,152 is: 129,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104 : 59,152 = 59,152 : x
  2. Step 2: Convert to fraction form
    27,104/59,152 = 59,152/x
  3. Step 3: Cross multiply
    27,104x = 59,152 × 59,152
  4. Step 4: Simplify right side
    27,104x = 3,498,959,104
  5. Step 5: Solve for x
    x = 3,498,959,104/27,104
  6. Step 6: Final answer
    x = 129,093.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.