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Finding the Third Proportional to 80,094 and 120,141

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Solution

The third proportional to 80,094 and 120,141 is: 180,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,094 : 120,141 = 120,141 : x
  2. Step 2: Convert to fraction form
    80,094/120,141 = 120,141/x
  3. Step 3: Cross multiply
    80,094x = 120,141 × 120,141
  4. Step 4: Simplify right side
    80,094x = 14,433,859,881
  5. Step 5: Solve for x
    x = 14,433,859,881/80,094
  6. Step 6: Final answer
    x = 180,211.50

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Why These Related Problems?

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