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Finding the Third Proportional to 54,233.25 and 81,029.25

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Solution

The third proportional to 54,233.25 and 81,029.25 is: 121,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,233.25 : 81,029.25 = 81,029.25 : x
  2. Step 2: Convert to fraction form
    54,233.25/81,029.25 = 81,029.25/x
  3. Step 3: Cross multiply
    54,233.25x = 81,029.25 × 81,029.25
  4. Step 4: Simplify right side
    54,233.25x = 6,565,739,355.56
  5. Step 5: Solve for x
    x = 6,565,739,355.56/54,233.25
  6. Step 6: Final answer
    x = 121,064.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.