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Finding the Third Proportional to 55,538 and 122,152

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Solution

The third proportional to 55,538 and 122,152 is: 268,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,538 : 122,152 = 122,152 : x
  2. Step 2: Convert to fraction form
    55,538/122,152 = 122,152/x
  3. Step 3: Cross multiply
    55,538x = 122,152 × 122,152
  4. Step 4: Simplify right side
    55,538x = 14,921,111,104
  5. Step 5: Solve for x
    x = 14,921,111,104/55,538
  6. Step 6: Final answer
    x = 268,664.90

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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.