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Finding the Third Proportional to 112,002 and 167,733

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Solution

The third proportional to 112,002 and 167,733 is: 251,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,002 : 167,733 = 167,733 : x
  2. Step 2: Convert to fraction form
    112,002/167,733 = 167,733/x
  3. Step 3: Cross multiply
    112,002x = 167,733 × 167,733
  4. Step 4: Simplify right side
    112,002x = 28,134,359,289
  5. Step 5: Solve for x
    x = 28,134,359,289/112,002
  6. Step 6: Final answer
    x = 251,195.15

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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.