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Finding the Third Proportional to 25,458.75 and 60,194.25

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Solution

The third proportional to 25,458.75 and 60,194.25 is: 142,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.75 : 60,194.25 = 60,194.25 : x
  2. Step 2: Convert to fraction form
    25,458.75/60,194.25 = 60,194.25/x
  3. Step 3: Cross multiply
    25,458.75x = 60,194.25 × 60,194.25
  4. Step 4: Simplify right side
    25,458.75x = 3,623,347,733.06
  5. Step 5: Solve for x
    x = 3,623,347,733.06/25,458.75
  6. Step 6: Final answer
    x = 142,322.30

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.