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Finding the Third Proportional to 54,588 and 119,326

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Solution

The third proportional to 54,588 and 119,326 is: 260,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588 : 119,326 = 119,326 : x
  2. Step 2: Convert to fraction form
    54,588/119,326 = 119,326/x
  3. Step 3: Cross multiply
    54,588x = 119,326 × 119,326
  4. Step 4: Simplify right side
    54,588x = 14,238,694,276
  5. Step 5: Solve for x
    x = 14,238,694,276/54,588
  6. Step 6: Final answer
    x = 260,839.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.