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Finding the Third Proportional to 96,836 and 133,348

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Solution

The third proportional to 96,836 and 133,348 is: 183,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,836 : 133,348 = 133,348 : x
  2. Step 2: Convert to fraction form
    96,836/133,348 = 133,348/x
  3. Step 3: Cross multiply
    96,836x = 133,348 × 133,348
  4. Step 4: Simplify right side
    96,836x = 17,781,689,104
  5. Step 5: Solve for x
    x = 17,781,689,104/96,836
  6. Step 6: Final answer
    x = 183,626.84

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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.