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Finding the Third Proportional to 50,727.23 and 78,853.92

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Solution

The third proportional to 50,727.23 and 78,853.92 is: 122,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727.23 : 78,853.92 = 78,853.92 : x
  2. Step 2: Convert to fraction form
    50,727.23/78,853.92 = 78,853.92/x
  3. Step 3: Cross multiply
    50,727.23x = 78,853.92 × 78,853.92
  4. Step 4: Simplify right side
    50,727.23x = 6,217,940,995.07
  5. Step 5: Solve for x
    x = 6,217,940,995.07/50,727.23
  6. Step 6: Final answer
    x = 122,575.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.