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Finding the Third Proportional to 54,234 and 81,062

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Solution

The third proportional to 54,234 and 81,062 is: 121,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234 : 81,062 = 81,062 : x
  2. Step 2: Convert to fraction form
    54,234/81,062 = 81,062/x
  3. Step 3: Cross multiply
    54,234x = 81,062 × 81,062
  4. Step 4: Simplify right side
    54,234x = 6,571,047,844
  5. Step 5: Solve for x
    x = 6,571,047,844/54,234
  6. Step 6: Final answer
    x = 121,161.04

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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.