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Finding the Third Proportional to 133,971 and 178,592

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Solution

The third proportional to 133,971 and 178,592 is: 238,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971 : 178,592 = 178,592 : x
  2. Step 2: Convert to fraction form
    133,971/178,592 = 178,592/x
  3. Step 3: Cross multiply
    133,971x = 178,592 × 178,592
  4. Step 4: Simplify right side
    133,971x = 31,895,102,464
  5. Step 5: Solve for x
    x = 31,895,102,464/133,971
  6. Step 6: Final answer
    x = 238,074.68

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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.