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Finding the Third Proportional to 126,764 and 189,751

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Solution

The third proportional to 126,764 and 189,751 is: 284,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,764 : 189,751 = 189,751 : x
  2. Step 2: Convert to fraction form
    126,764/189,751 = 189,751/x
  3. Step 3: Cross multiply
    126,764x = 189,751 × 189,751
  4. Step 4: Simplify right side
    126,764x = 36,005,442,001
  5. Step 5: Solve for x
    x = 36,005,442,001/126,764
  6. Step 6: Final answer
    x = 284,035.23

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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.