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Finding the Third Proportional to 51,548.06 and 109,611.56

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Solution

The third proportional to 51,548.06 and 109,611.56 is: 233,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,548.06 : 109,611.56 = 109,611.56 : x
  2. Step 2: Convert to fraction form
    51,548.06/109,611.56 = 109,611.56/x
  3. Step 3: Cross multiply
    51,548.06x = 109,611.56 × 109,611.56
  4. Step 4: Simplify right side
    51,548.06x = 12,014,694,633.69
  5. Step 5: Solve for x
    x = 12,014,694,633.69/51,548.06
  6. Step 6: Final answer
    x = 233,077.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.