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Finding the Third Proportional to 54,694 and 118,856

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Solution

The third proportional to 54,694 and 118,856 is: 258,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694 : 118,856 = 118,856 : x
  2. Step 2: Convert to fraction form
    54,694/118,856 = 118,856/x
  3. Step 3: Cross multiply
    54,694x = 118,856 × 118,856
  4. Step 4: Simplify right side
    54,694x = 14,126,748,736
  5. Step 5: Solve for x
    x = 14,126,748,736/54,694
  6. Step 6: Final answer
    x = 258,286.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.