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Finding the Third Proportional to 45,274 and 96,380

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Solution

The third proportional to 45,274 and 96,380 is: 205,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,274 : 96,380 = 96,380 : x
  2. Step 2: Convert to fraction form
    45,274/96,380 = 96,380/x
  3. Step 3: Cross multiply
    45,274x = 96,380 × 96,380
  4. Step 4: Simplify right side
    45,274x = 9,289,104,400
  5. Step 5: Solve for x
    x = 9,289,104,400/45,274
  6. Step 6: Final answer
    x = 205,175.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.