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Finding the Third Proportional to 67,337 and 102,404

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Solution

The third proportional to 67,337 and 102,404 is: 155,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,337 : 102,404 = 102,404 : x
  2. Step 2: Convert to fraction form
    67,337/102,404 = 102,404/x
  3. Step 3: Cross multiply
    67,337x = 102,404 × 102,404
  4. Step 4: Simplify right side
    67,337x = 10,486,579,216
  5. Step 5: Solve for x
    x = 10,486,579,216/67,337
  6. Step 6: Final answer
    x = 155,732.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.