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Finding the Third Proportional to 55,022 and 115,444

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Solution

The third proportional to 55,022 and 115,444 is: 242,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022 : 115,444 = 115,444 : x
  2. Step 2: Convert to fraction form
    55,022/115,444 = 115,444/x
  3. Step 3: Cross multiply
    55,022x = 115,444 × 115,444
  4. Step 4: Simplify right side
    55,022x = 13,327,317,136
  5. Step 5: Solve for x
    x = 13,327,317,136/55,022
  6. Step 6: Final answer
    x = 242,217.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.