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Finding the Third Proportional to 69,073 and 150,638

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Solution

The third proportional to 69,073 and 150,638 is: 328,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,073 : 150,638 = 150,638 : x
  2. Step 2: Convert to fraction form
    69,073/150,638 = 150,638/x
  3. Step 3: Cross multiply
    69,073x = 150,638 × 150,638
  4. Step 4: Simplify right side
    69,073x = 22,691,807,044
  5. Step 5: Solve for x
    x = 22,691,807,044/69,073
  6. Step 6: Final answer
    x = 328,519.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.