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Finding the Third Proportional to 111,928 and 166,633

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Solution

The third proportional to 111,928 and 166,633 is: 248,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,928 : 166,633 = 166,633 : x
  2. Step 2: Convert to fraction form
    111,928/166,633 = 166,633/x
  3. Step 3: Cross multiply
    111,928x = 166,633 × 166,633
  4. Step 4: Simplify right side
    111,928x = 27,766,556,689
  5. Step 5: Solve for x
    x = 27,766,556,689/111,928
  6. Step 6: Final answer
    x = 248,075.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.