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Finding the Third Proportional to 111,861 and 167,882.63

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Solution

The third proportional to 111,861 and 167,882.63 is: 251,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,861 : 167,882.63 = 167,882.63 : x
  2. Step 2: Convert to fraction form
    111,861/167,882.63 = 167,882.63/x
  3. Step 3: Cross multiply
    111,861x = 167,882.63 × 167,882.63
  4. Step 4: Simplify right side
    111,861x = 28,184,575,776.89
  5. Step 5: Solve for x
    x = 28,184,575,776.89/111,861
  6. Step 6: Final answer
    x = 251,960.70

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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.