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Finding the Third Proportional to 132,954 and 199,523

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Solution

The third proportional to 132,954 and 199,523 is: 299,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954 : 199,523 = 199,523 : x
  2. Step 2: Convert to fraction form
    132,954/199,523 = 199,523/x
  3. Step 3: Cross multiply
    132,954x = 199,523 × 199,523
  4. Step 4: Simplify right side
    132,954x = 39,809,427,529
  5. Step 5: Solve for x
    x = 39,809,427,529/132,954
  6. Step 6: Final answer
    x = 299,422.56

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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.