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Finding the Third Proportional to 54,747 and 82,364

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Solution

The third proportional to 54,747 and 82,364 is: 123,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747 : 82,364 = 82,364 : x
  2. Step 2: Convert to fraction form
    54,747/82,364 = 82,364/x
  3. Step 3: Cross multiply
    54,747x = 82,364 × 82,364
  4. Step 4: Simplify right side
    54,747x = 6,783,828,496
  5. Step 5: Solve for x
    x = 6,783,828,496/54,747
  6. Step 6: Final answer
    x = 123,912.33

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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.