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Finding the Third Proportional to 131,978 and 179,309

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Solution

The third proportional to 131,978 and 179,309 is: 243,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,978 : 179,309 = 179,309 : x
  2. Step 2: Convert to fraction form
    131,978/179,309 = 179,309/x
  3. Step 3: Cross multiply
    131,978x = 179,309 × 179,309
  4. Step 4: Simplify right side
    131,978x = 32,151,717,481
  5. Step 5: Solve for x
    x = 32,151,717,481/131,978
  6. Step 6: Final answer
    x = 243,614.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.