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Finding the Third Proportional to 100,861 and 133,795

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Solution

The third proportional to 100,861 and 133,795 is: 177,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,861 : 133,795 = 133,795 : x
  2. Step 2: Convert to fraction form
    100,861/133,795 = 133,795/x
  3. Step 3: Cross multiply
    100,861x = 133,795 × 133,795
  4. Step 4: Simplify right side
    100,861x = 17,901,102,025
  5. Step 5: Solve for x
    x = 17,901,102,025/100,861
  6. Step 6: Final answer
    x = 177,482.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.