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Finding the Third Proportional to 119,414.25 and 259,542

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Solution

The third proportional to 119,414.25 and 259,542 is: 564,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.25 : 259,542 = 259,542 : x
  2. Step 2: Convert to fraction form
    119,414.25/259,542 = 259,542/x
  3. Step 3: Cross multiply
    119,414.25x = 259,542 × 259,542
  4. Step 4: Simplify right side
    119,414.25x = 67,362,049,764
  5. Step 5: Solve for x
    x = 67,362,049,764/119,414.25
  6. Step 6: Final answer
    x = 564,103.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.