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Finding the Third Proportional to 95,016 and 133,620

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Solution

The third proportional to 95,016 and 133,620 is: 187,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,016 : 133,620 = 133,620 : x
  2. Step 2: Convert to fraction form
    95,016/133,620 = 133,620/x
  3. Step 3: Cross multiply
    95,016x = 133,620 × 133,620
  4. Step 4: Simplify right side
    95,016x = 17,854,304,400
  5. Step 5: Solve for x
    x = 17,854,304,400/95,016
  6. Step 6: Final answer
    x = 187,908.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.