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Finding the Third Proportional to 122,769 and 182,196

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Solution

The third proportional to 122,769 and 182,196 is: 270,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,769 : 182,196 = 182,196 : x
  2. Step 2: Convert to fraction form
    122,769/182,196 = 182,196/x
  3. Step 3: Cross multiply
    122,769x = 182,196 × 182,196
  4. Step 4: Simplify right side
    122,769x = 33,195,382,416
  5. Step 5: Solve for x
    x = 33,195,382,416/122,769
  6. Step 6: Final answer
    x = 270,388.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.