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Finding the Third Proportional to 54,016 and 81,762

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Solution

The third proportional to 54,016 and 81,762 is: 123,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016 : 81,762 = 81,762 : x
  2. Step 2: Convert to fraction form
    54,016/81,762 = 81,762/x
  3. Step 3: Cross multiply
    54,016x = 81,762 × 81,762
  4. Step 4: Simplify right side
    54,016x = 6,685,024,644
  5. Step 5: Solve for x
    x = 6,685,024,644/54,016
  6. Step 6: Final answer
    x = 123,760.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.