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Finding the Third Proportional to 25,205 and 55,234

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Solution

The third proportional to 25,205 and 55,234 is: 121,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205 : 55,234 = 55,234 : x
  2. Step 2: Convert to fraction form
    25,205/55,234 = 55,234/x
  3. Step 3: Cross multiply
    25,205x = 55,234 × 55,234
  4. Step 4: Simplify right side
    25,205x = 3,050,794,756
  5. Step 5: Solve for x
    x = 3,050,794,756/25,205
  6. Step 6: Final answer
    x = 121,039.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.