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Finding the Third Proportional to 54,102 and 115,674

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Solution

The third proportional to 54,102 and 115,674 is: 247,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102 : 115,674 = 115,674 : x
  2. Step 2: Convert to fraction form
    54,102/115,674 = 115,674/x
  3. Step 3: Cross multiply
    54,102x = 115,674 × 115,674
  4. Step 4: Simplify right side
    54,102x = 13,380,474,276
  5. Step 5: Solve for x
    x = 13,380,474,276/54,102
  6. Step 6: Final answer
    x = 247,319.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.