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Finding the Third Proportional to 54,763 and 84,563

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Solution

The third proportional to 54,763 and 84,563 is: 130,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763 : 84,563 = 84,563 : x
  2. Step 2: Convert to fraction form
    54,763/84,563 = 84,563/x
  3. Step 3: Cross multiply
    54,763x = 84,563 × 84,563
  4. Step 4: Simplify right side
    54,763x = 7,150,900,969
  5. Step 5: Solve for x
    x = 7,150,900,969/54,763
  6. Step 6: Final answer
    x = 130,579.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.