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Finding the Third Proportional to 80,176 and 120,264

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Solution

The third proportional to 80,176 and 120,264 is: 180,396

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,176 : 120,264 = 120,264 : x
  2. Step 2: Convert to fraction form
    80,176/120,264 = 120,264/x
  3. Step 3: Cross multiply
    80,176x = 120,264 × 120,264
  4. Step 4: Simplify right side
    80,176x = 14,463,429,696
  5. Step 5: Solve for x
    x = 14,463,429,696/80,176
  6. Step 6: Final answer
    x = 180,396

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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.