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Finding the Third Proportional to 41,920 and 90,476

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Solution

The third proportional to 41,920 and 90,476 is: 195,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 90,476 = 90,476 : x
  2. Step 2: Convert to fraction form
    41,920/90,476 = 90,476/x
  3. Step 3: Cross multiply
    41,920x = 90,476 × 90,476
  4. Step 4: Simplify right side
    41,920x = 8,185,906,576
  5. Step 5: Solve for x
    x = 8,185,906,576/41,920
  6. Step 6: Final answer
    x = 195,274.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.