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Finding the Third Proportional to 54,527 and 82,063

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Solution

The third proportional to 54,527 and 82,063 is: 123,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527 : 82,063 = 82,063 : x
  2. Step 2: Convert to fraction form
    54,527/82,063 = 82,063/x
  3. Step 3: Cross multiply
    54,527x = 82,063 × 82,063
  4. Step 4: Simplify right side
    54,527x = 6,734,335,969
  5. Step 5: Solve for x
    x = 6,734,335,969/54,527
  6. Step 6: Final answer
    x = 123,504.61

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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.