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Finding the Third Proportional to 80,672 and 112,836

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Solution

The third proportional to 80,672 and 112,836 is: 157,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,672 : 112,836 = 112,836 : x
  2. Step 2: Convert to fraction form
    80,672/112,836 = 112,836/x
  3. Step 3: Cross multiply
    80,672x = 112,836 × 112,836
  4. Step 4: Simplify right side
    80,672x = 12,731,962,896
  5. Step 5: Solve for x
    x = 12,731,962,896/80,672
  6. Step 6: Final answer
    x = 157,823.82

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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.