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Finding the Third Proportional to 44,732 and 91,543

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Solution

The third proportional to 44,732 and 91,543 is: 187,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,732 : 91,543 = 91,543 : x
  2. Step 2: Convert to fraction form
    44,732/91,543 = 91,543/x
  3. Step 3: Cross multiply
    44,732x = 91,543 × 91,543
  4. Step 4: Simplify right side
    44,732x = 8,380,120,849
  5. Step 5: Solve for x
    x = 8,380,120,849/44,732
  6. Step 6: Final answer
    x = 187,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.