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Finding the Third Proportional to 54,676 and 115,688

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Solution

The third proportional to 54,676 and 115,688 is: 244,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676 : 115,688 = 115,688 : x
  2. Step 2: Convert to fraction form
    54,676/115,688 = 115,688/x
  3. Step 3: Cross multiply
    54,676x = 115,688 × 115,688
  4. Step 4: Simplify right side
    54,676x = 13,383,713,344
  5. Step 5: Solve for x
    x = 13,383,713,344/54,676
  6. Step 6: Final answer
    x = 244,782.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.