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Finding the Third Proportional to 25,242 and 54,852

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Solution

The third proportional to 25,242 and 54,852 is: 119,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242 : 54,852 = 54,852 : x
  2. Step 2: Convert to fraction form
    25,242/54,852 = 54,852/x
  3. Step 3: Cross multiply
    25,242x = 54,852 × 54,852
  4. Step 4: Simplify right side
    25,242x = 3,008,741,904
  5. Step 5: Solve for x
    x = 3,008,741,904/25,242
  6. Step 6: Final answer
    x = 119,195.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.