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Finding the Third Proportional to 43,443 and 94,297

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Solution

The third proportional to 43,443 and 94,297 is: 204,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,443 : 94,297 = 94,297 : x
  2. Step 2: Convert to fraction form
    43,443/94,297 = 94,297/x
  3. Step 3: Cross multiply
    43,443x = 94,297 × 94,297
  4. Step 4: Simplify right side
    43,443x = 8,891,924,209
  5. Step 5: Solve for x
    x = 8,891,924,209/43,443
  6. Step 6: Final answer
    x = 204,680.25

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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.