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Finding the Third Proportional to 51,912.56 and 81,329.06

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Solution

The third proportional to 51,912.56 and 81,329.06 is: 127,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912.56 : 81,329.06 = 81,329.06 : x
  2. Step 2: Convert to fraction form
    51,912.56/81,329.06 = 81,329.06/x
  3. Step 3: Cross multiply
    51,912.56x = 81,329.06 × 81,329.06
  4. Step 4: Simplify right side
    51,912.56x = 6,614,416,407.13
  5. Step 5: Solve for x
    x = 6,614,416,407.13/51,912.56
  6. Step 6: Final answer
    x = 127,414.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.