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Finding the Third Proportional to 80,760 and 113,169

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Solution

The third proportional to 80,760 and 113,169 is: 158,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,760 : 113,169 = 113,169 : x
  2. Step 2: Convert to fraction form
    80,760/113,169 = 113,169/x
  3. Step 3: Cross multiply
    80,760x = 113,169 × 113,169
  4. Step 4: Simplify right side
    80,760x = 12,807,222,561
  5. Step 5: Solve for x
    x = 12,807,222,561/80,760
  6. Step 6: Final answer
    x = 158,583.74

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Why These Related Problems?

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