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Finding the Third Proportional to 54,102 and 116,844

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Solution

The third proportional to 54,102 and 116,844 is: 252,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102 : 116,844 = 116,844 : x
  2. Step 2: Convert to fraction form
    54,102/116,844 = 116,844/x
  3. Step 3: Cross multiply
    54,102x = 116,844 × 116,844
  4. Step 4: Simplify right side
    54,102x = 13,652,520,336
  5. Step 5: Solve for x
    x = 13,652,520,336/54,102
  6. Step 6: Final answer
    x = 252,347.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.