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Finding the Third Proportional to 43,005 and 91,231

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Solution

The third proportional to 43,005 and 91,231 is: 193,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,005 : 91,231 = 91,231 : x
  2. Step 2: Convert to fraction form
    43,005/91,231 = 91,231/x
  3. Step 3: Cross multiply
    43,005x = 91,231 × 91,231
  4. Step 4: Simplify right side
    43,005x = 8,323,095,361
  5. Step 5: Solve for x
    x = 8,323,095,361/43,005
  6. Step 6: Final answer
    x = 193,537.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.