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Finding the Third Proportional to 122,174 and 178,894

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Solution

The third proportional to 122,174 and 178,894 is: 261,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,174 : 178,894 = 178,894 : x
  2. Step 2: Convert to fraction form
    122,174/178,894 = 178,894/x
  3. Step 3: Cross multiply
    122,174x = 178,894 × 178,894
  4. Step 4: Simplify right side
    122,174x = 32,003,063,236
  5. Step 5: Solve for x
    x = 32,003,063,236/122,174
  6. Step 6: Final answer
    x = 261,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.