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Finding the Third Proportional to 96,540 and 204,732

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Solution

The third proportional to 96,540 and 204,732 is: 434,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 204,732 = 204,732 : x
  2. Step 2: Convert to fraction form
    96,540/204,732 = 204,732/x
  3. Step 3: Cross multiply
    96,540x = 204,732 × 204,732
  4. Step 4: Simplify right side
    96,540x = 41,915,191,824
  5. Step 5: Solve for x
    x = 41,915,191,824/96,540
  6. Step 6: Final answer
    x = 434,174.35

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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.