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Finding the Third Proportional to 135,910 and 195,765

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Solution

The third proportional to 135,910 and 195,765 is: 281,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,910 : 195,765 = 195,765 : x
  2. Step 2: Convert to fraction form
    135,910/195,765 = 195,765/x
  3. Step 3: Cross multiply
    135,910x = 195,765 × 195,765
  4. Step 4: Simplify right side
    135,910x = 38,323,935,225
  5. Step 5: Solve for x
    x = 38,323,935,225/135,910
  6. Step 6: Final answer
    x = 281,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.