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Finding the Third Proportional to 54,508 and 115,613

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Solution

The third proportional to 54,508 and 115,613 is: 245,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508 : 115,613 = 115,613 : x
  2. Step 2: Convert to fraction form
    54,508/115,613 = 115,613/x
  3. Step 3: Cross multiply
    54,508x = 115,613 × 115,613
  4. Step 4: Simplify right side
    54,508x = 13,366,365,769
  5. Step 5: Solve for x
    x = 13,366,365,769/54,508
  6. Step 6: Final answer
    x = 245,218.42

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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.