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Finding the Third Proportional to 43,292 and 94,525

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Solution

The third proportional to 43,292 and 94,525 is: 206,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,292 : 94,525 = 94,525 : x
  2. Step 2: Convert to fraction form
    43,292/94,525 = 94,525/x
  3. Step 3: Cross multiply
    43,292x = 94,525 × 94,525
  4. Step 4: Simplify right side
    43,292x = 8,934,975,625
  5. Step 5: Solve for x
    x = 8,934,975,625/43,292
  6. Step 6: Final answer
    x = 206,388.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.