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Finding the Third Proportional to 125,863.56 and 273,639.83

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Solution

The third proportional to 125,863.56 and 273,639.83 is: 594,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,863.56 : 273,639.83 = 273,639.83 : x
  2. Step 2: Convert to fraction form
    125,863.56/273,639.83 = 273,639.83/x
  3. Step 3: Cross multiply
    125,863.56x = 273,639.83 × 273,639.83
  4. Step 4: Simplify right side
    125,863.56x = 74,878,757,674.09
  5. Step 5: Solve for x
    x = 74,878,757,674.09/125,863.56
  6. Step 6: Final answer
    x = 594,920.07

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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.