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Finding the Third Proportional to 25,199 and 55,003

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Solution

The third proportional to 25,199 and 55,003 is: 120,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199 : 55,003 = 55,003 : x
  2. Step 2: Convert to fraction form
    25,199/55,003 = 55,003/x
  3. Step 3: Cross multiply
    25,199x = 55,003 × 55,003
  4. Step 4: Simplify right side
    25,199x = 3,025,330,009
  5. Step 5: Solve for x
    x = 3,025,330,009/25,199
  6. Step 6: Final answer
    x = 120,057.54

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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.