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Finding the Third Proportional to 74,902.85 and 161,223.86

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Solution

The third proportional to 74,902.85 and 161,223.86 is: 347,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,902.85 : 161,223.86 = 161,223.86 : x
  2. Step 2: Convert to fraction form
    74,902.85/161,223.86 = 161,223.86/x
  3. Step 3: Cross multiply
    74,902.85x = 161,223.86 × 161,223.86
  4. Step 4: Simplify right side
    74,902.85x = 25,993,131,572.21
  5. Step 5: Solve for x
    x = 25,993,131,572.21/74,902.85
  6. Step 6: Final answer
    x = 347,024.59

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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.