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Finding the Third Proportional to 55,661 and 113,266

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Solution

The third proportional to 55,661 and 113,266 is: 230,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,661 : 113,266 = 113,266 : x
  2. Step 2: Convert to fraction form
    55,661/113,266 = 113,266/x
  3. Step 3: Cross multiply
    55,661x = 113,266 × 113,266
  4. Step 4: Simplify right side
    55,661x = 12,829,186,756
  5. Step 5: Solve for x
    x = 12,829,186,756/55,661
  6. Step 6: Final answer
    x = 230,487.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.