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Finding the Third Proportional to 51,907.50 and 80,162.25

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Solution

The third proportional to 51,907.50 and 80,162.25 is: 123,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,907.50 : 80,162.25 = 80,162.25 : x
  2. Step 2: Convert to fraction form
    51,907.50/80,162.25 = 80,162.25/x
  3. Step 3: Cross multiply
    51,907.50x = 80,162.25 × 80,162.25
  4. Step 4: Simplify right side
    51,907.50x = 6,425,986,325.06
  5. Step 5: Solve for x
    x = 6,425,986,325.06/51,907.50
  6. Step 6: Final answer
    x = 123,796.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.