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Finding the Third Proportional to 25,625 and 55,201

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Solution

The third proportional to 25,625 and 55,201 is: 118,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625 : 55,201 = 55,201 : x
  2. Step 2: Convert to fraction form
    25,625/55,201 = 55,201/x
  3. Step 3: Cross multiply
    25,625x = 55,201 × 55,201
  4. Step 4: Simplify right side
    25,625x = 3,047,150,401
  5. Step 5: Solve for x
    x = 3,047,150,401/25,625
  6. Step 6: Final answer
    x = 118,913.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.