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Finding the Third Proportional to 54,668 and 84,338

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Solution

The third proportional to 54,668 and 84,338 is: 130,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,668 : 84,338 = 84,338 : x
  2. Step 2: Convert to fraction form
    54,668/84,338 = 84,338/x
  3. Step 3: Cross multiply
    54,668x = 84,338 × 84,338
  4. Step 4: Simplify right side
    54,668x = 7,112,898,244
  5. Step 5: Solve for x
    x = 7,112,898,244/54,668
  6. Step 6: Final answer
    x = 130,110.82

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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.