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Finding the Third Proportional to 51,966.56 and 80,625.38

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Solution

The third proportional to 51,966.56 and 80,625.38 is: 125,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966.56 : 80,625.38 = 80,625.38 : x
  2. Step 2: Convert to fraction form
    51,966.56/80,625.38 = 80,625.38/x
  3. Step 3: Cross multiply
    51,966.56x = 80,625.38 × 80,625.38
  4. Step 4: Simplify right side
    51,966.56x = 6,500,451,093.89
  5. Step 5: Solve for x
    x = 6,500,451,093.89/51,966.56
  6. Step 6: Final answer
    x = 125,089.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.