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Finding the Third Proportional to 96,306.75 and 127,821.38

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Solution

The third proportional to 96,306.75 and 127,821.38 is: 169,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,306.75 : 127,821.38 = 127,821.38 : x
  2. Step 2: Convert to fraction form
    96,306.75/127,821.38 = 127,821.38/x
  3. Step 3: Cross multiply
    96,306.75x = 127,821.38 × 127,821.38
  4. Step 4: Simplify right side
    96,306.75x = 16,338,303,906.89
  5. Step 5: Solve for x
    x = 16,338,303,906.89/96,306.75
  6. Step 6: Final answer
    x = 169,648.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.