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Finding the Third Proportional to 80,315.44 and 120,488.63

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Solution

The third proportional to 80,315.44 and 120,488.63 is: 180,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,315.44 : 120,488.63 = 120,488.63 : x
  2. Step 2: Convert to fraction form
    80,315.44/120,488.63 = 120,488.63/x
  3. Step 3: Cross multiply
    80,315.44x = 120,488.63 × 120,488.63
  4. Step 4: Simplify right side
    80,315.44x = 14,517,508,754.39
  5. Step 5: Solve for x
    x = 14,517,508,754.39/80,315.44
  6. Step 6: Final answer
    x = 180,756.14

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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.