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Finding the Third Proportional to 80,352 and 120,042

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Solution

The third proportional to 80,352 and 120,042 is: 179,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 120,042 = 120,042 : x
  2. Step 2: Convert to fraction form
    80,352/120,042 = 120,042/x
  3. Step 3: Cross multiply
    80,352x = 120,042 × 120,042
  4. Step 4: Simplify right side
    80,352x = 14,410,081,764
  5. Step 5: Solve for x
    x = 14,410,081,764/80,352
  6. Step 6: Final answer
    x = 179,336.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.