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Finding the Third Proportional to 96,564 and 133,638

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Solution

The third proportional to 96,564 and 133,638 is: 184,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564 : 133,638 = 133,638 : x
  2. Step 2: Convert to fraction form
    96,564/133,638 = 133,638/x
  3. Step 3: Cross multiply
    96,564x = 133,638 × 133,638
  4. Step 4: Simplify right side
    96,564x = 17,859,115,044
  5. Step 5: Solve for x
    x = 17,859,115,044/96,564
  6. Step 6: Final answer
    x = 184,945.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.