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Finding the Third Proportional to 95,154 and 133,659

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Solution

The third proportional to 95,154 and 133,659 is: 187,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,154 : 133,659 = 133,659 : x
  2. Step 2: Convert to fraction form
    95,154/133,659 = 133,659/x
  3. Step 3: Cross multiply
    95,154x = 133,659 × 133,659
  4. Step 4: Simplify right side
    95,154x = 17,864,728,281
  5. Step 5: Solve for x
    x = 17,864,728,281/95,154
  6. Step 6: Final answer
    x = 187,745.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.