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Finding the Third Proportional to 80,252 and 120,382

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Solution

The third proportional to 80,252 and 120,382 is: 180,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,252 : 120,382 = 120,382 : x
  2. Step 2: Convert to fraction form
    80,252/120,382 = 120,382/x
  3. Step 3: Cross multiply
    80,252x = 120,382 × 120,382
  4. Step 4: Simplify right side
    80,252x = 14,491,825,924
  5. Step 5: Solve for x
    x = 14,491,825,924/80,252
  6. Step 6: Final answer
    x = 180,579.00

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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.