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Finding the Third Proportional to 73,949.72 and 161,969.70

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Solution

The third proportional to 73,949.72 and 161,969.70 is: 354,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,949.72 : 161,969.70 = 161,969.70 : x
  2. Step 2: Convert to fraction form
    73,949.72/161,969.70 = 161,969.70/x
  3. Step 3: Cross multiply
    73,949.72x = 161,969.70 × 161,969.70
  4. Step 4: Simplify right side
    73,949.72x = 26,234,185,046.75
  5. Step 5: Solve for x
    x = 26,234,185,046.75/73,949.72
  6. Step 6: Final answer
    x = 354,757.07

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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.