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Finding the Third Proportional to 54,784 and 80,226

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Solution

The third proportional to 54,784 and 80,226 is: 117,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784 : 80,226 = 80,226 : x
  2. Step 2: Convert to fraction form
    54,784/80,226 = 80,226/x
  3. Step 3: Cross multiply
    54,784x = 80,226 × 80,226
  4. Step 4: Simplify right side
    54,784x = 6,436,211,076
  5. Step 5: Solve for x
    x = 6,436,211,076/54,784
  6. Step 6: Final answer
    x = 117,483.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.