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Finding the Third Proportional to 54,770 and 82,398

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Solution

The third proportional to 54,770 and 82,398 is: 123,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,770 : 82,398 = 82,398 : x
  2. Step 2: Convert to fraction form
    54,770/82,398 = 82,398/x
  3. Step 3: Cross multiply
    54,770x = 82,398 × 82,398
  4. Step 4: Simplify right side
    54,770x = 6,789,430,404
  5. Step 5: Solve for x
    x = 6,789,430,404/54,770
  6. Step 6: Final answer
    x = 123,962.58

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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.