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Finding the Third Proportional to 54,922 and 120,538

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Solution

The third proportional to 54,922 and 120,538 is: 264,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922 : 120,538 = 120,538 : x
  2. Step 2: Convert to fraction form
    54,922/120,538 = 120,538/x
  3. Step 3: Cross multiply
    54,922x = 120,538 × 120,538
  4. Step 4: Simplify right side
    54,922x = 14,529,409,444
  5. Step 5: Solve for x
    x = 14,529,409,444/54,922
  6. Step 6: Final answer
    x = 264,546.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.