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Finding the Third Proportional to 79,466 and 181,166

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Solution

The third proportional to 79,466 and 181,166 is: 413,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,466 : 181,166 = 181,166 : x
  2. Step 2: Convert to fraction form
    79,466/181,166 = 181,166/x
  3. Step 3: Cross multiply
    79,466x = 181,166 × 181,166
  4. Step 4: Simplify right side
    79,466x = 32,821,119,556
  5. Step 5: Solve for x
    x = 32,821,119,556/79,466
  6. Step 6: Final answer
    x = 413,020.91

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.