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Finding the Third Proportional to 132,741 and 199,125

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Solution

The third proportional to 132,741 and 199,125 is: 298,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,741 : 199,125 = 199,125 : x
  2. Step 2: Convert to fraction form
    132,741/199,125 = 199,125/x
  3. Step 3: Cross multiply
    132,741x = 199,125 × 199,125
  4. Step 4: Simplify right side
    132,741x = 39,650,765,625
  5. Step 5: Solve for x
    x = 39,650,765,625/132,741
  6. Step 6: Final answer
    x = 298,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.