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Finding the Third Proportional to 54,218 and 83,393

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Solution

The third proportional to 54,218 and 83,393 is: 128,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,218 : 83,393 = 83,393 : x
  2. Step 2: Convert to fraction form
    54,218/83,393 = 83,393/x
  3. Step 3: Cross multiply
    54,218x = 83,393 × 83,393
  4. Step 4: Simplify right side
    54,218x = 6,954,392,449
  5. Step 5: Solve for x
    x = 6,954,392,449/54,218
  6. Step 6: Final answer
    x = 128,267.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.