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Finding the Third Proportional to 92,846 and 139,474

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Solution

The third proportional to 92,846 and 139,474 is: 209,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,846 : 139,474 = 139,474 : x
  2. Step 2: Convert to fraction form
    92,846/139,474 = 139,474/x
  3. Step 3: Cross multiply
    92,846x = 139,474 × 139,474
  4. Step 4: Simplify right side
    92,846x = 19,452,996,676
  5. Step 5: Solve for x
    x = 19,452,996,676/92,846
  6. Step 6: Final answer
    x = 209,518.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.