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Finding the Third Proportional to 111,612 and 167,406

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Solution

The third proportional to 111,612 and 167,406 is: 251,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,612 : 167,406 = 167,406 : x
  2. Step 2: Convert to fraction form
    111,612/167,406 = 167,406/x
  3. Step 3: Cross multiply
    111,612x = 167,406 × 167,406
  4. Step 4: Simplify right side
    111,612x = 28,024,768,836
  5. Step 5: Solve for x
    x = 28,024,768,836/111,612
  6. Step 6: Final answer
    x = 251,091.00

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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.