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Finding the Third Proportional to 74,945.25 and 161,007.75

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Solution

The third proportional to 74,945.25 and 161,007.75 is: 345,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,945.25 : 161,007.75 = 161,007.75 : x
  2. Step 2: Convert to fraction form
    74,945.25/161,007.75 = 161,007.75/x
  3. Step 3: Cross multiply
    74,945.25x = 161,007.75 × 161,007.75
  4. Step 4: Simplify right side
    74,945.25x = 25,923,495,560.06
  5. Step 5: Solve for x
    x = 25,923,495,560.06/74,945.25
  6. Step 6: Final answer
    x = 345,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.