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Finding the Third Proportional to 100,863 and 133,797

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Solution

The third proportional to 100,863 and 133,797 is: 177,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863 : 133,797 = 133,797 : x
  2. Step 2: Convert to fraction form
    100,863/133,797 = 133,797/x
  3. Step 3: Cross multiply
    100,863x = 133,797 × 133,797
  4. Step 4: Simplify right side
    100,863x = 17,901,637,209
  5. Step 5: Solve for x
    x = 17,901,637,209/100,863
  6. Step 6: Final answer
    x = 177,484.68

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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.