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Finding the Third Proportional to 69,577 and 151,652

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Solution

The third proportional to 69,577 and 151,652 is: 330,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,577 : 151,652 = 151,652 : x
  2. Step 2: Convert to fraction form
    69,577/151,652 = 151,652/x
  3. Step 3: Cross multiply
    69,577x = 151,652 × 151,652
  4. Step 4: Simplify right side
    69,577x = 22,998,329,104
  5. Step 5: Solve for x
    x = 22,998,329,104/69,577
  6. Step 6: Final answer
    x = 330,544.99

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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.