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Finding the Third Proportional to 96,838 and 133,351

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Solution

The third proportional to 96,838 and 133,351 is: 183,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 133,351 = 133,351 : x
  2. Step 2: Convert to fraction form
    96,838/133,351 = 133,351/x
  3. Step 3: Cross multiply
    96,838x = 133,351 × 133,351
  4. Step 4: Simplify right side
    96,838x = 17,782,489,201
  5. Step 5: Solve for x
    x = 17,782,489,201/96,838
  6. Step 6: Final answer
    x = 183,631.31

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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.