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Finding the Third Proportional to 122,932 and 197,166

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Solution

The third proportional to 122,932 and 197,166 is: 316,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,932 : 197,166 = 197,166 : x
  2. Step 2: Convert to fraction form
    122,932/197,166 = 197,166/x
  3. Step 3: Cross multiply
    122,932x = 197,166 × 197,166
  4. Step 4: Simplify right side
    122,932x = 38,874,431,556
  5. Step 5: Solve for x
    x = 38,874,431,556/122,932
  6. Step 6: Final answer
    x = 316,227.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.