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Finding the Third Proportional to 54,034 and 81,796

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Solution

The third proportional to 54,034 and 81,796 is: 123,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034 : 81,796 = 81,796 : x
  2. Step 2: Convert to fraction form
    54,034/81,796 = 81,796/x
  3. Step 3: Cross multiply
    54,034x = 81,796 × 81,796
  4. Step 4: Simplify right side
    54,034x = 6,690,585,616
  5. Step 5: Solve for x
    x = 6,690,585,616/54,034
  6. Step 6: Final answer
    x = 123,821.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.