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Finding the Third Proportional to 101,474 and 161,608

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Solution

The third proportional to 101,474 and 161,608 is: 257,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,474 : 161,608 = 161,608 : x
  2. Step 2: Convert to fraction form
    101,474/161,608 = 161,608/x
  3. Step 3: Cross multiply
    101,474x = 161,608 × 161,608
  4. Step 4: Simplify right side
    101,474x = 26,117,145,664
  5. Step 5: Solve for x
    x = 26,117,145,664/101,474
  6. Step 6: Final answer
    x = 257,377.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.