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Finding the Third Proportional to 54,548 and 115,686

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Solution

The third proportional to 54,548 and 115,686 is: 245,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548 : 115,686 = 115,686 : x
  2. Step 2: Convert to fraction form
    54,548/115,686 = 115,686/x
  3. Step 3: Cross multiply
    54,548x = 115,686 × 115,686
  4. Step 4: Simplify right side
    54,548x = 13,383,250,596
  5. Step 5: Solve for x
    x = 13,383,250,596/54,548
  6. Step 6: Final answer
    x = 245,348.14

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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.