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Finding the Third Proportional to 101,538 and 151,722

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Solution

The third proportional to 101,538 and 151,722 is: 226,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 151,722 = 151,722 : x
  2. Step 2: Convert to fraction form
    101,538/151,722 = 151,722/x
  3. Step 3: Cross multiply
    101,538x = 151,722 × 151,722
  4. Step 4: Simplify right side
    101,538x = 23,019,565,284
  5. Step 5: Solve for x
    x = 23,019,565,284/101,538
  6. Step 6: Final answer
    x = 226,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.