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Finding the Third Proportional to 34,182 and 71,819.16

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Solution

The third proportional to 34,182 and 71,819.16 is: 150,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182 : 71,819.16 = 71,819.16 : x
  2. Step 2: Convert to fraction form
    34,182/71,819.16 = 71,819.16/x
  3. Step 3: Cross multiply
    34,182x = 71,819.16 × 71,819.16
  4. Step 4: Simplify right side
    34,182x = 5,157,991,204.46
  5. Step 5: Solve for x
    x = 5,157,991,204.46/34,182
  6. Step 6: Final answer
    x = 150,897.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.