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Finding the Third Proportional to 69,519.75 and 162,028.50

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Solution

The third proportional to 69,519.75 and 162,028.50 is: 377,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,519.75 : 162,028.50 = 162,028.50 : x
  2. Step 2: Convert to fraction form
    69,519.75/162,028.50 = 162,028.50/x
  3. Step 3: Cross multiply
    69,519.75x = 162,028.50 × 162,028.50
  4. Step 4: Simplify right side
    69,519.75x = 26,253,234,812.25
  5. Step 5: Solve for x
    x = 26,253,234,812.25/69,519.75
  6. Step 6: Final answer
    x = 377,637.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.