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Finding the Third Proportional to 137,926 and 179,622

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Solution

The third proportional to 137,926 and 179,622 is: 233,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,926 : 179,622 = 179,622 : x
  2. Step 2: Convert to fraction form
    137,926/179,622 = 179,622/x
  3. Step 3: Cross multiply
    137,926x = 179,622 × 179,622
  4. Step 4: Simplify right side
    137,926x = 32,264,062,884
  5. Step 5: Solve for x
    x = 32,264,062,884/137,926
  6. Step 6: Final answer
    x = 233,922.99

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.