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Finding the Third Proportional to 45,836 and 96,285

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Solution

The third proportional to 45,836 and 96,285 is: 202,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,836 : 96,285 = 96,285 : x
  2. Step 2: Convert to fraction form
    45,836/96,285 = 96,285/x
  3. Step 3: Cross multiply
    45,836x = 96,285 × 96,285
  4. Step 4: Simplify right side
    45,836x = 9,270,801,225
  5. Step 5: Solve for x
    x = 9,270,801,225/45,836
  6. Step 6: Final answer
    x = 202,260.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.