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Finding the Third Proportional to 111,075 and 241,866

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Solution

The third proportional to 111,075 and 241,866 is: 526,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,075 : 241,866 = 241,866 : x
  2. Step 2: Convert to fraction form
    111,075/241,866 = 241,866/x
  3. Step 3: Cross multiply
    111,075x = 241,866 × 241,866
  4. Step 4: Simplify right side
    111,075x = 58,499,161,956
  5. Step 5: Solve for x
    x = 58,499,161,956/111,075
  6. Step 6: Final answer
    x = 526,663.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.