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Finding the Third Proportional to 80,214 and 120,033

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Solution

The third proportional to 80,214 and 120,033 is: 179,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214 : 120,033 = 120,033 : x
  2. Step 2: Convert to fraction form
    80,214/120,033 = 120,033/x
  3. Step 3: Cross multiply
    80,214x = 120,033 × 120,033
  4. Step 4: Simplify right side
    80,214x = 14,407,921,089
  5. Step 5: Solve for x
    x = 14,407,921,089/80,214
  6. Step 6: Final answer
    x = 179,618.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.