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Finding the Third Proportional to 69,202 and 151,608

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Solution

The third proportional to 69,202 and 151,608 is: 332,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202 : 151,608 = 151,608 : x
  2. Step 2: Convert to fraction form
    69,202/151,608 = 151,608/x
  3. Step 3: Cross multiply
    69,202x = 151,608 × 151,608
  4. Step 4: Simplify right side
    69,202x = 22,984,985,664
  5. Step 5: Solve for x
    x = 22,984,985,664/69,202
  6. Step 6: Final answer
    x = 332,143.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.