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Finding the Third Proportional to 62,194.50 and 132,519

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Solution

The third proportional to 62,194.50 and 132,519 is: 282,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,194.50 : 132,519 = 132,519 : x
  2. Step 2: Convert to fraction form
    62,194.50/132,519 = 132,519/x
  3. Step 3: Cross multiply
    62,194.50x = 132,519 × 132,519
  4. Step 4: Simplify right side
    62,194.50x = 17,561,285,361
  5. Step 5: Solve for x
    x = 17,561,285,361/62,194.50
  6. Step 6: Final answer
    x = 282,360.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.