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Finding the Third Proportional to 60,271.31 and 131,257.69

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Solution

The third proportional to 60,271.31 and 131,257.69 is: 285,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,271.31 : 131,257.69 = 131,257.69 : x
  2. Step 2: Convert to fraction form
    60,271.31/131,257.69 = 131,257.69/x
  3. Step 3: Cross multiply
    60,271.31x = 131,257.69 × 131,257.69
  4. Step 4: Simplify right side
    60,271.31x = 17,228,580,527.85
  5. Step 5: Solve for x
    x = 17,228,580,527.85/60,271.31
  6. Step 6: Final answer
    x = 285,850.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.