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Finding the Third Proportional to 54,652 and 80,034

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Solution

The third proportional to 54,652 and 80,034 is: 117,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652 : 80,034 = 80,034 : x
  2. Step 2: Convert to fraction form
    54,652/80,034 = 80,034/x
  3. Step 3: Cross multiply
    54,652x = 80,034 × 80,034
  4. Step 4: Simplify right side
    54,652x = 6,405,441,156
  5. Step 5: Solve for x
    x = 6,405,441,156/54,652
  6. Step 6: Final answer
    x = 117,204.15

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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.