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Finding the Third Proportional to 43,452 and 94,814

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Solution

The third proportional to 43,452 and 94,814 is: 206,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,452 : 94,814 = 94,814 : x
  2. Step 2: Convert to fraction form
    43,452/94,814 = 94,814/x
  3. Step 3: Cross multiply
    43,452x = 94,814 × 94,814
  4. Step 4: Simplify right side
    43,452x = 8,989,694,596
  5. Step 5: Solve for x
    x = 8,989,694,596/43,452
  6. Step 6: Final answer
    x = 206,887.94

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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.