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Finding the Third Proportional to 53,940 and 110,022

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Solution

The third proportional to 53,940 and 110,022 is: 224,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,940 : 110,022 = 110,022 : x
  2. Step 2: Convert to fraction form
    53,940/110,022 = 110,022/x
  3. Step 3: Cross multiply
    53,940x = 110,022 × 110,022
  4. Step 4: Simplify right side
    53,940x = 12,104,840,484
  5. Step 5: Solve for x
    x = 12,104,840,484/53,940
  6. Step 6: Final answer
    x = 224,413.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.