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Finding the Third Proportional to 56,760 and 122,181

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Solution

The third proportional to 56,760 and 122,181 is: 263,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760 : 122,181 = 122,181 : x
  2. Step 2: Convert to fraction form
    56,760/122,181 = 122,181/x
  3. Step 3: Cross multiply
    56,760x = 122,181 × 122,181
  4. Step 4: Simplify right side
    56,760x = 14,928,196,761
  5. Step 5: Solve for x
    x = 14,928,196,761/56,760
  6. Step 6: Final answer
    x = 263,005.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.