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Finding the Third Proportional to 96,424 and 133,884

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Solution

The third proportional to 96,424 and 133,884 is: 185,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,424 : 133,884 = 133,884 : x
  2. Step 2: Convert to fraction form
    96,424/133,884 = 133,884/x
  3. Step 3: Cross multiply
    96,424x = 133,884 × 133,884
  4. Step 4: Simplify right side
    96,424x = 17,924,925,456
  5. Step 5: Solve for x
    x = 17,924,925,456/96,424
  6. Step 6: Final answer
    x = 185,896.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.