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Finding the Third Proportional to 25,268 and 59,054

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Solution

The third proportional to 25,268 and 59,054 is: 138,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,268 : 59,054 = 59,054 : x
  2. Step 2: Convert to fraction form
    25,268/59,054 = 59,054/x
  3. Step 3: Cross multiply
    25,268x = 59,054 × 59,054
  4. Step 4: Simplify right side
    25,268x = 3,487,374,916
  5. Step 5: Solve for x
    x = 3,487,374,916/25,268
  6. Step 6: Final answer
    x = 138,015.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.