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Finding the Third Proportional to 54,546 and 82,899

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Solution

The third proportional to 54,546 and 82,899 is: 125,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 82,899 = 82,899 : x
  2. Step 2: Convert to fraction form
    54,546/82,899 = 82,899/x
  3. Step 3: Cross multiply
    54,546x = 82,899 × 82,899
  4. Step 4: Simplify right side
    54,546x = 6,872,244,201
  5. Step 5: Solve for x
    x = 6,872,244,201/54,546
  6. Step 6: Final answer
    x = 125,989.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.