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Finding the Third Proportional to 73,329 and 140,826

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Solution

The third proportional to 73,329 and 140,826 is: 270,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,329 : 140,826 = 140,826 : x
  2. Step 2: Convert to fraction form
    73,329/140,826 = 140,826/x
  3. Step 3: Cross multiply
    73,329x = 140,826 × 140,826
  4. Step 4: Simplify right side
    73,329x = 19,831,962,276
  5. Step 5: Solve for x
    x = 19,831,962,276/73,329
  6. Step 6: Final answer
    x = 270,451.83

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.