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Finding the Third Proportional to 54,074 and 80,895

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Solution

The third proportional to 54,074 and 80,895 is: 121,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,074 : 80,895 = 80,895 : x
  2. Step 2: Convert to fraction form
    54,074/80,895 = 80,895/x
  3. Step 3: Cross multiply
    54,074x = 80,895 × 80,895
  4. Step 4: Simplify right side
    54,074x = 6,544,001,025
  5. Step 5: Solve for x
    x = 6,544,001,025/54,074
  6. Step 6: Final answer
    x = 121,019.36

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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.