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Finding the Third Proportional to 54,065 and 81,016

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Solution

The third proportional to 54,065 and 81,016 is: 121,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,065 : 81,016 = 81,016 : x
  2. Step 2: Convert to fraction form
    54,065/81,016 = 81,016/x
  3. Step 3: Cross multiply
    54,065x = 81,016 × 81,016
  4. Step 4: Simplify right side
    54,065x = 6,563,592,256
  5. Step 5: Solve for x
    x = 6,563,592,256/54,065
  6. Step 6: Final answer
    x = 121,401.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.