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Finding the Third Proportional to 55,932 and 111,822

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Solution

The third proportional to 55,932 and 111,822 is: 223,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,932 : 111,822 = 111,822 : x
  2. Step 2: Convert to fraction form
    55,932/111,822 = 111,822/x
  3. Step 3: Cross multiply
    55,932x = 111,822 × 111,822
  4. Step 4: Simplify right side
    55,932x = 12,504,159,684
  5. Step 5: Solve for x
    x = 12,504,159,684/55,932
  6. Step 6: Final answer
    x = 223,560.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.