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Finding the Third Proportional to 47,235 and 73,722

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Solution

The third proportional to 47,235 and 73,722 is: 115,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,235 : 73,722 = 73,722 : x
  2. Step 2: Convert to fraction form
    47,235/73,722 = 73,722/x
  3. Step 3: Cross multiply
    47,235x = 73,722 × 73,722
  4. Step 4: Simplify right side
    47,235x = 5,434,933,284
  5. Step 5: Solve for x
    x = 5,434,933,284/47,235
  6. Step 6: Final answer
    x = 115,061.57

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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.