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Finding the Third Proportional to 81,033 and 168,519

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Solution

The third proportional to 81,033 and 168,519 is: 350,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,033 : 168,519 = 168,519 : x
  2. Step 2: Convert to fraction form
    81,033/168,519 = 168,519/x
  3. Step 3: Cross multiply
    81,033x = 168,519 × 168,519
  4. Step 4: Simplify right side
    81,033x = 28,398,653,361
  5. Step 5: Solve for x
    x = 28,398,653,361/81,033
  6. Step 6: Final answer
    x = 350,457.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.