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Finding the Third Proportional to 86,328 and 133,326

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Solution

The third proportional to 86,328 and 133,326 is: 205,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,328 : 133,326 = 133,326 : x
  2. Step 2: Convert to fraction form
    86,328/133,326 = 133,326/x
  3. Step 3: Cross multiply
    86,328x = 133,326 × 133,326
  4. Step 4: Simplify right side
    86,328x = 17,775,822,276
  5. Step 5: Solve for x
    x = 17,775,822,276/86,328
  6. Step 6: Final answer
    x = 205,910.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.