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Finding the Third Proportional to 47,180 and 73,641

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Solution

The third proportional to 47,180 and 73,641 is: 114,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,180 : 73,641 = 73,641 : x
  2. Step 2: Convert to fraction form
    47,180/73,641 = 73,641/x
  3. Step 3: Cross multiply
    47,180x = 73,641 × 73,641
  4. Step 4: Simplify right side
    47,180x = 5,422,996,881
  5. Step 5: Solve for x
    x = 5,422,996,881/47,180
  6. Step 6: Final answer
    x = 114,942.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.