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Finding the Third Proportional to 80,464 and 120,156

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Solution

The third proportional to 80,464 and 120,156 is: 179,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464 : 120,156 = 120,156 : x
  2. Step 2: Convert to fraction form
    80,464/120,156 = 120,156/x
  3. Step 3: Cross multiply
    80,464x = 120,156 × 120,156
  4. Step 4: Simplify right side
    80,464x = 14,437,464,336
  5. Step 5: Solve for x
    x = 14,437,464,336/80,464
  6. Step 6: Final answer
    x = 179,427.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.