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Finding the Third Proportional to 25,168 and 54,216

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Solution

The third proportional to 25,168 and 54,216 is: 116,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168 : 54,216 = 54,216 : x
  2. Step 2: Convert to fraction form
    25,168/54,216 = 54,216/x
  3. Step 3: Cross multiply
    25,168x = 54,216 × 54,216
  4. Step 4: Simplify right side
    25,168x = 2,939,374,656
  5. Step 5: Solve for x
    x = 2,939,374,656/25,168
  6. Step 6: Final answer
    x = 116,790.16

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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.