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Finding the Third Proportional to 71,450.06 and 150,919.13

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Solution

The third proportional to 71,450.06 and 150,919.13 is: 318,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450.06 : 150,919.13 = 150,919.13 : x
  2. Step 2: Convert to fraction form
    71,450.06/150,919.13 = 150,919.13/x
  3. Step 3: Cross multiply
    71,450.06x = 150,919.13 × 150,919.13
  4. Step 4: Simplify right side
    71,450.06x = 22,776,582,290.77
  5. Step 5: Solve for x
    x = 22,776,582,290.77/71,450.06
  6. Step 6: Final answer
    x = 318,776.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.