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Finding the Third Proportional to 55,546 and 122,170

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Solution

The third proportional to 55,546 and 122,170 is: 268,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546 : 122,170 = 122,170 : x
  2. Step 2: Convert to fraction form
    55,546/122,170 = 122,170/x
  3. Step 3: Cross multiply
    55,546x = 122,170 × 122,170
  4. Step 4: Simplify right side
    55,546x = 14,925,508,900
  5. Step 5: Solve for x
    x = 14,925,508,900/55,546
  6. Step 6: Final answer
    x = 268,705.38

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Why These Related Problems?

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