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Finding the Third Proportional to 59,760 and 131,182

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Solution

The third proportional to 59,760 and 131,182 is: 287,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,760 : 131,182 = 131,182 : x
  2. Step 2: Convert to fraction form
    59,760/131,182 = 131,182/x
  3. Step 3: Cross multiply
    59,760x = 131,182 × 131,182
  4. Step 4: Simplify right side
    59,760x = 17,208,717,124
  5. Step 5: Solve for x
    x = 17,208,717,124/59,760
  6. Step 6: Final answer
    x = 287,963.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.