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Finding the Third Proportional to 42,476 and 92,336

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Solution

The third proportional to 42,476 and 92,336 is: 200,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,476 : 92,336 = 92,336 : x
  2. Step 2: Convert to fraction form
    42,476/92,336 = 92,336/x
  3. Step 3: Cross multiply
    42,476x = 92,336 × 92,336
  4. Step 4: Simplify right side
    42,476x = 8,525,936,896
  5. Step 5: Solve for x
    x = 8,525,936,896/42,476
  6. Step 6: Final answer
    x = 200,723.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.