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Finding the Third Proportional to 116,750 and 178,041

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Solution

The third proportional to 116,750 and 178,041 is: 271,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,750 : 178,041 = 178,041 : x
  2. Step 2: Convert to fraction form
    116,750/178,041 = 178,041/x
  3. Step 3: Cross multiply
    116,750x = 178,041 × 178,041
  4. Step 4: Simplify right side
    116,750x = 31,698,597,681
  5. Step 5: Solve for x
    x = 31,698,597,681/116,750
  6. Step 6: Final answer
    x = 271,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.