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Finding the Third Proportional to 111,907 and 241,687

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Solution

The third proportional to 111,907 and 241,687 is: 521,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,907 : 241,687 = 241,687 : x
  2. Step 2: Convert to fraction form
    111,907/241,687 = 241,687/x
  3. Step 3: Cross multiply
    111,907x = 241,687 × 241,687
  4. Step 4: Simplify right side
    111,907x = 58,412,605,969
  5. Step 5: Solve for x
    x = 58,412,605,969/111,907
  6. Step 6: Final answer
    x = 521,974.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.