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Finding the Third Proportional to 80,680 and 112,848

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Solution

The third proportional to 80,680 and 112,848 is: 157,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,680 : 112,848 = 112,848 : x
  2. Step 2: Convert to fraction form
    80,680/112,848 = 112,848/x
  3. Step 3: Cross multiply
    80,680x = 112,848 × 112,848
  4. Step 4: Simplify right side
    80,680x = 12,734,671,104
  5. Step 5: Solve for x
    x = 12,734,671,104/80,680
  6. Step 6: Final answer
    x = 157,841.73

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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.