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Finding the Third Proportional to 71,180 and 109,183

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Solution

The third proportional to 71,180 and 109,183 is: 167,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180 : 109,183 = 109,183 : x
  2. Step 2: Convert to fraction form
    71,180/109,183 = 109,183/x
  3. Step 3: Cross multiply
    71,180x = 109,183 × 109,183
  4. Step 4: Simplify right side
    71,180x = 11,920,927,489
  5. Step 5: Solve for x
    x = 11,920,927,489/71,180
  6. Step 6: Final answer
    x = 167,475.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.