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Finding the Third Proportional to 43,966 and 89,486

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Solution

The third proportional to 43,966 and 89,486 is: 182,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,966 : 89,486 = 89,486 : x
  2. Step 2: Convert to fraction form
    43,966/89,486 = 89,486/x
  3. Step 3: Cross multiply
    43,966x = 89,486 × 89,486
  4. Step 4: Simplify right side
    43,966x = 8,007,744,196
  5. Step 5: Solve for x
    x = 8,007,744,196/43,966
  6. Step 6: Final answer
    x = 182,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.