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Finding the Third Proportional to 73,977 and 161,791.50

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Solution

The third proportional to 73,977 and 161,791.50 is: 353,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977 : 161,791.50 = 161,791.50 : x
  2. Step 2: Convert to fraction form
    73,977/161,791.50 = 161,791.50/x
  3. Step 3: Cross multiply
    73,977x = 161,791.50 × 161,791.50
  4. Step 4: Simplify right side
    73,977x = 26,176,489,472.25
  5. Step 5: Solve for x
    x = 26,176,489,472.25/73,977
  6. Step 6: Final answer
    x = 353,846.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.