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Finding the Third Proportional to 133,976 and 178,598

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Solution

The third proportional to 133,976 and 178,598 is: 238,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,976 : 178,598 = 178,598 : x
  2. Step 2: Convert to fraction form
    133,976/178,598 = 178,598/x
  3. Step 3: Cross multiply
    133,976x = 178,598 × 178,598
  4. Step 4: Simplify right side
    133,976x = 31,897,245,604
  5. Step 5: Solve for x
    x = 31,897,245,604/133,976
  6. Step 6: Final answer
    x = 238,081.79

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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.