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Finding the Third Proportional to 101,739 and 218,526

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Solution

The third proportional to 101,739 and 218,526 is: 469,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739 : 218,526 = 218,526 : x
  2. Step 2: Convert to fraction form
    101,739/218,526 = 218,526/x
  3. Step 3: Cross multiply
    101,739x = 218,526 × 218,526
  4. Step 4: Simplify right side
    101,739x = 47,753,612,676
  5. Step 5: Solve for x
    x = 47,753,612,676/101,739
  6. Step 6: Final answer
    x = 469,373.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.