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Finding the Third Proportional to 54,845 and 82,943

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Solution

The third proportional to 54,845 and 82,943 is: 125,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845 : 82,943 = 82,943 : x
  2. Step 2: Convert to fraction form
    54,845/82,943 = 82,943/x
  3. Step 3: Cross multiply
    54,845x = 82,943 × 82,943
  4. Step 4: Simplify right side
    54,845x = 6,879,541,249
  5. Step 5: Solve for x
    x = 6,879,541,249/54,845
  6. Step 6: Final answer
    x = 125,436.07

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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.