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Finding the Third Proportional to 43,589 and 93,172

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Solution

The third proportional to 43,589 and 93,172 is: 199,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,589 : 93,172 = 93,172 : x
  2. Step 2: Convert to fraction form
    43,589/93,172 = 93,172/x
  3. Step 3: Cross multiply
    43,589x = 93,172 × 93,172
  4. Step 4: Simplify right side
    43,589x = 8,681,021,584
  5. Step 5: Solve for x
    x = 8,681,021,584/43,589
  6. Step 6: Final answer
    x = 199,156.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.