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Finding the Third Proportional to 65,864 and 102,135

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Solution

The third proportional to 65,864 and 102,135 is: 158,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864 : 102,135 = 102,135 : x
  2. Step 2: Convert to fraction form
    65,864/102,135 = 102,135/x
  3. Step 3: Cross multiply
    65,864x = 102,135 × 102,135
  4. Step 4: Simplify right side
    65,864x = 10,431,558,225
  5. Step 5: Solve for x
    x = 10,431,558,225/65,864
  6. Step 6: Final answer
    x = 158,380.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.