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Finding the Third Proportional to 54,802 and 82,203

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Solution

The third proportional to 54,802 and 82,203 is: 123,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802 : 82,203 = 82,203 : x
  2. Step 2: Convert to fraction form
    54,802/82,203 = 82,203/x
  3. Step 3: Cross multiply
    54,802x = 82,203 × 82,203
  4. Step 4: Simplify right side
    54,802x = 6,757,333,209
  5. Step 5: Solve for x
    x = 6,757,333,209/54,802
  6. Step 6: Final answer
    x = 123,304.50

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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.