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Finding the Third Proportional to 95,665 and 149,311

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Solution

The third proportional to 95,665 and 149,311 is: 233,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,665 : 149,311 = 149,311 : x
  2. Step 2: Convert to fraction form
    95,665/149,311 = 149,311/x
  3. Step 3: Cross multiply
    95,665x = 149,311 × 149,311
  4. Step 4: Simplify right side
    95,665x = 22,293,774,721
  5. Step 5: Solve for x
    x = 22,293,774,721/95,665
  6. Step 6: Final answer
    x = 233,040.03

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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.