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Finding the Third Proportional to 47,505 and 73,554

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Solution

The third proportional to 47,505 and 73,554 is: 113,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,505 : 73,554 = 73,554 : x
  2. Step 2: Convert to fraction form
    47,505/73,554 = 73,554/x
  3. Step 3: Cross multiply
    47,505x = 73,554 × 73,554
  4. Step 4: Simplify right side
    47,505x = 5,410,190,916
  5. Step 5: Solve for x
    x = 5,410,190,916/47,505
  6. Step 6: Final answer
    x = 113,886.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.