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Finding the Third Proportional to 43,041 and 93,231

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Solution

The third proportional to 43,041 and 93,231 is: 201,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,041 : 93,231 = 93,231 : x
  2. Step 2: Convert to fraction form
    43,041/93,231 = 93,231/x
  3. Step 3: Cross multiply
    43,041x = 93,231 × 93,231
  4. Step 4: Simplify right side
    43,041x = 8,692,019,361
  5. Step 5: Solve for x
    x = 8,692,019,361/43,041
  6. Step 6: Final answer
    x = 201,947.43

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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.