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Finding the Third Proportional to 73,242 and 155,961

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Solution

The third proportional to 73,242 and 155,961 is: 332,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242 : 155,961 = 155,961 : x
  2. Step 2: Convert to fraction form
    73,242/155,961 = 155,961/x
  3. Step 3: Cross multiply
    73,242x = 155,961 × 155,961
  4. Step 4: Simplify right side
    73,242x = 24,323,833,521
  5. Step 5: Solve for x
    x = 24,323,833,521/73,242
  6. Step 6: Final answer
    x = 332,102.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.