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Finding the Third Proportional to 55,498 and 122,044

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Solution

The third proportional to 55,498 and 122,044 is: 268,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,498 : 122,044 = 122,044 : x
  2. Step 2: Convert to fraction form
    55,498/122,044 = 122,044/x
  3. Step 3: Cross multiply
    55,498x = 122,044 × 122,044
  4. Step 4: Simplify right side
    55,498x = 14,894,737,936
  5. Step 5: Solve for x
    x = 14,894,737,936/55,498
  6. Step 6: Final answer
    x = 268,383.33

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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.