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Finding the Third Proportional to 132,975 and 199,462.50

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Solution

The third proportional to 132,975 and 199,462.50 is: 299,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,975 : 199,462.50 = 199,462.50 : x
  2. Step 2: Convert to fraction form
    132,975/199,462.50 = 199,462.50/x
  3. Step 3: Cross multiply
    132,975x = 199,462.50 × 199,462.50
  4. Step 4: Simplify right side
    132,975x = 39,785,288,906.25
  5. Step 5: Solve for x
    x = 39,785,288,906.25/132,975
  6. Step 6: Final answer
    x = 299,193.75

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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.