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Finding the Third Proportional to 43,373 and 94,609

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Solution

The third proportional to 43,373 and 94,609 is: 206,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,373 : 94,609 = 94,609 : x
  2. Step 2: Convert to fraction form
    43,373/94,609 = 94,609/x
  3. Step 3: Cross multiply
    43,373x = 94,609 × 94,609
  4. Step 4: Simplify right side
    43,373x = 8,950,862,881
  5. Step 5: Solve for x
    x = 8,950,862,881/43,373
  6. Step 6: Final answer
    x = 206,369.47

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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.