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Finding the Third Proportional to 55,513.50 and 122,100

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Solution

The third proportional to 55,513.50 and 122,100 is: 268,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,513.50 : 122,100 = 122,100 : x
  2. Step 2: Convert to fraction form
    55,513.50/122,100 = 122,100/x
  3. Step 3: Cross multiply
    55,513.50x = 122,100 × 122,100
  4. Step 4: Simplify right side
    55,513.50x = 14,908,410,000
  5. Step 5: Solve for x
    x = 14,908,410,000/55,513.50
  6. Step 6: Final answer
    x = 268,554.68

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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.