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Finding the Third Proportional to 100,318 and 133,170

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Solution

The third proportional to 100,318 and 133,170 is: 176,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,318 : 133,170 = 133,170 : x
  2. Step 2: Convert to fraction form
    100,318/133,170 = 133,170/x
  3. Step 3: Cross multiply
    100,318x = 133,170 × 133,170
  4. Step 4: Simplify right side
    100,318x = 17,734,248,900
  5. Step 5: Solve for x
    x = 17,734,248,900/100,318
  6. Step 6: Final answer
    x = 176,780.33

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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.