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Finding the Third Proportional to 43,744 and 89,332

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Solution

The third proportional to 43,744 and 89,332 is: 182,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744 : 89,332 = 89,332 : x
  2. Step 2: Convert to fraction form
    43,744/89,332 = 89,332/x
  3. Step 3: Cross multiply
    43,744x = 89,332 × 89,332
  4. Step 4: Simplify right side
    43,744x = 7,980,206,224
  5. Step 5: Solve for x
    x = 7,980,206,224/43,744
  6. Step 6: Final answer
    x = 182,429.73

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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.