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Finding the Third Proportional to 71,629.13 and 151,794.75

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Solution

The third proportional to 71,629.13 and 151,794.75 is: 321,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,629.13 : 151,794.75 = 151,794.75 : x
  2. Step 2: Convert to fraction form
    71,629.13/151,794.75 = 151,794.75/x
  3. Step 3: Cross multiply
    71,629.13x = 151,794.75 × 151,794.75
  4. Step 4: Simplify right side
    71,629.13x = 23,041,646,127.56
  5. Step 5: Solve for x
    x = 23,041,646,127.56/71,629.13
  6. Step 6: Final answer
    x = 321,679.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.