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Finding the Third Proportional to 54,268 and 84,875

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Solution

The third proportional to 54,268 and 84,875 is: 132,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,268 : 84,875 = 84,875 : x
  2. Step 2: Convert to fraction form
    54,268/84,875 = 84,875/x
  3. Step 3: Cross multiply
    54,268x = 84,875 × 84,875
  4. Step 4: Simplify right side
    54,268x = 7,203,765,625
  5. Step 5: Solve for x
    x = 7,203,765,625/54,268
  6. Step 6: Final answer
    x = 132,744.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.