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Finding the Third Proportional to 126,234.75 and 189,676.13

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Solution

The third proportional to 126,234.75 and 189,676.13 is: 285,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,234.75 : 189,676.13 = 189,676.13 : x
  2. Step 2: Convert to fraction form
    126,234.75/189,676.13 = 189,676.13/x
  3. Step 3: Cross multiply
    126,234.75x = 189,676.13 × 189,676.13
  4. Step 4: Simplify right side
    126,234.75x = 35,977,032,395.02
  5. Step 5: Solve for x
    x = 35,977,032,395.02/126,234.75
  6. Step 6: Final answer
    x = 285,001.02

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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.