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Finding the Third Proportional to 87,015 and 184,326

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Solution

The third proportional to 87,015 and 184,326 is: 390,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,015 : 184,326 = 184,326 : x
  2. Step 2: Convert to fraction form
    87,015/184,326 = 184,326/x
  3. Step 3: Cross multiply
    87,015x = 184,326 × 184,326
  4. Step 4: Simplify right side
    87,015x = 33,976,074,276
  5. Step 5: Solve for x
    x = 33,976,074,276/87,015
  6. Step 6: Final answer
    x = 390,462.27

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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.