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Finding the Third Proportional to 56,170 and 122,182

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Solution

The third proportional to 56,170 and 122,182 is: 265,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,170 : 122,182 = 122,182 : x
  2. Step 2: Convert to fraction form
    56,170/122,182 = 122,182/x
  3. Step 3: Cross multiply
    56,170x = 122,182 × 122,182
  4. Step 4: Simplify right side
    56,170x = 14,928,441,124
  5. Step 5: Solve for x
    x = 14,928,441,124/56,170
  6. Step 6: Final answer
    x = 265,772.50

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Why These Related Problems?

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