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Finding the Third Proportional to 43,717 and 94,777

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Solution

The third proportional to 43,717 and 94,777 is: 205,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,717 : 94,777 = 94,777 : x
  2. Step 2: Convert to fraction form
    43,717/94,777 = 94,777/x
  3. Step 3: Cross multiply
    43,717x = 94,777 × 94,777
  4. Step 4: Simplify right side
    43,717x = 8,982,679,729
  5. Step 5: Solve for x
    x = 8,982,679,729/43,717
  6. Step 6: Final answer
    x = 205,473.38

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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.