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Finding the Third Proportional to 25,112.25 and 54,112.50

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Solution

The third proportional to 25,112.25 and 54,112.50 is: 116,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,112.25 : 54,112.50 = 54,112.50 : x
  2. Step 2: Convert to fraction form
    25,112.25/54,112.50 = 54,112.50/x
  3. Step 3: Cross multiply
    25,112.25x = 54,112.50 × 54,112.50
  4. Step 4: Simplify right side
    25,112.25x = 2,928,162,656.25
  5. Step 5: Solve for x
    x = 2,928,162,656.25/25,112.25
  6. Step 6: Final answer
    x = 116,602.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.