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Finding the Third Proportional to 111,057 and 166,404

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Solution

The third proportional to 111,057 and 166,404 is: 249,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,057 : 166,404 = 166,404 : x
  2. Step 2: Convert to fraction form
    111,057/166,404 = 166,404/x
  3. Step 3: Cross multiply
    111,057x = 166,404 × 166,404
  4. Step 4: Simplify right side
    111,057x = 27,690,291,216
  5. Step 5: Solve for x
    x = 27,690,291,216/111,057
  6. Step 6: Final answer
    x = 249,334.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.