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Finding the Third Proportional to 73,812 and 149,808

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Solution

The third proportional to 73,812 and 149,808 is: 304,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,812 : 149,808 = 149,808 : x
  2. Step 2: Convert to fraction form
    73,812/149,808 = 149,808/x
  3. Step 3: Cross multiply
    73,812x = 149,808 × 149,808
  4. Step 4: Simplify right side
    73,812x = 22,442,436,864
  5. Step 5: Solve for x
    x = 22,442,436,864/73,812
  6. Step 6: Final answer
    x = 304,048.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.