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Finding the Third Proportional to 80,679 and 112,846

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Solution

The third proportional to 80,679 and 112,846 is: 157,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,679 : 112,846 = 112,846 : x
  2. Step 2: Convert to fraction form
    80,679/112,846 = 112,846/x
  3. Step 3: Cross multiply
    80,679x = 112,846 × 112,846
  4. Step 4: Simplify right side
    80,679x = 12,734,219,716
  5. Step 5: Solve for x
    x = 12,734,219,716/80,679
  6. Step 6: Final answer
    x = 157,838.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.