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Finding the Third Proportional to 119,741.63 and 199,562.06

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Solution

The third proportional to 119,741.63 and 199,562.06 is: 332,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,741.63 : 199,562.06 = 199,562.06 : x
  2. Step 2: Convert to fraction form
    119,741.63/199,562.06 = 199,562.06/x
  3. Step 3: Cross multiply
    119,741.63x = 199,562.06 × 199,562.06
  4. Step 4: Simplify right side
    119,741.63x = 39,825,016,789.25
  5. Step 5: Solve for x
    x = 39,825,016,789.25/119,741.63
  6. Step 6: Final answer
    x = 332,591.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.