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Finding the Third Proportional to 54,226 and 81,019

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Solution

The third proportional to 54,226 and 81,019 is: 121,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,226 : 81,019 = 81,019 : x
  2. Step 2: Convert to fraction form
    54,226/81,019 = 81,019/x
  3. Step 3: Cross multiply
    54,226x = 81,019 × 81,019
  4. Step 4: Simplify right side
    54,226x = 6,564,078,361
  5. Step 5: Solve for x
    x = 6,564,078,361/54,226
  6. Step 6: Final answer
    x = 121,050.39

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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.