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Finding the Third Proportional to 25,168 and 54,704

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Solution

The third proportional to 25,168 and 54,704 is: 118,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168 : 54,704 = 54,704 : x
  2. Step 2: Convert to fraction form
    25,168/54,704 = 54,704/x
  3. Step 3: Cross multiply
    25,168x = 54,704 × 54,704
  4. Step 4: Simplify right side
    25,168x = 2,992,527,616
  5. Step 5: Solve for x
    x = 2,992,527,616/25,168
  6. Step 6: Final answer
    x = 118,902.08

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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.