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Finding the Third Proportional to 88,212.75 and 132,519

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Solution

The third proportional to 88,212.75 and 132,519 is: 199,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,212.75 : 132,519 = 132,519 : x
  2. Step 2: Convert to fraction form
    88,212.75/132,519 = 132,519/x
  3. Step 3: Cross multiply
    88,212.75x = 132,519 × 132,519
  4. Step 4: Simplify right side
    88,212.75x = 17,561,285,361
  5. Step 5: Solve for x
    x = 17,561,285,361/88,212.75
  6. Step 6: Final answer
    x = 199,078.77

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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.