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Finding the Third Proportional to 25,117.57 and 54,178.77

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Solution

The third proportional to 25,117.57 and 54,178.77 is: 116,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117.57 : 54,178.77 = 54,178.77 : x
  2. Step 2: Convert to fraction form
    25,117.57/54,178.77 = 54,178.77/x
  3. Step 3: Cross multiply
    25,117.57x = 54,178.77 × 54,178.77
  4. Step 4: Simplify right side
    25,117.57x = 2,935,339,067.92
  5. Step 5: Solve for x
    x = 2,935,339,067.92/25,117.57
  6. Step 6: Final answer
    x = 116,863.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.