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Finding the Third Proportional to 73,479 and 150,069

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Solution

The third proportional to 73,479 and 150,069 is: 306,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,479 : 150,069 = 150,069 : x
  2. Step 2: Convert to fraction form
    73,479/150,069 = 150,069/x
  3. Step 3: Cross multiply
    73,479x = 150,069 × 150,069
  4. Step 4: Simplify right side
    73,479x = 22,520,704,761
  5. Step 5: Solve for x
    x = 22,520,704,761/73,479
  6. Step 6: Final answer
    x = 306,491.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.