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Finding the Third Proportional to 95,665 and 148,965

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Solution

The third proportional to 95,665 and 148,965 is: 231,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,665 : 148,965 = 148,965 : x
  2. Step 2: Convert to fraction form
    95,665/148,965 = 148,965/x
  3. Step 3: Cross multiply
    95,665x = 148,965 × 148,965
  4. Step 4: Simplify right side
    95,665x = 22,190,571,225
  5. Step 5: Solve for x
    x = 22,190,571,225/95,665
  6. Step 6: Final answer
    x = 231,961.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.