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Finding the Third Proportional to 53,861 and 116,326

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Solution

The third proportional to 53,861 and 116,326 is: 251,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,861 : 116,326 = 116,326 : x
  2. Step 2: Convert to fraction form
    53,861/116,326 = 116,326/x
  3. Step 3: Cross multiply
    53,861x = 116,326 × 116,326
  4. Step 4: Simplify right side
    53,861x = 13,531,738,276
  5. Step 5: Solve for x
    x = 13,531,738,276/53,861
  6. Step 6: Final answer
    x = 251,234.44

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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.