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Finding the Third Proportional to 119,560 and 180,236

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Solution

The third proportional to 119,560 and 180,236 is: 271,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,560 : 180,236 = 180,236 : x
  2. Step 2: Convert to fraction form
    119,560/180,236 = 180,236/x
  3. Step 3: Cross multiply
    119,560x = 180,236 × 180,236
  4. Step 4: Simplify right side
    119,560x = 32,485,015,696
  5. Step 5: Solve for x
    x = 32,485,015,696/119,560
  6. Step 6: Final answer
    x = 271,704.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.