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Finding the Third Proportional to 80,726 and 110,814.75

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Solution

The third proportional to 80,726 and 110,814.75 is: 152,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,726 : 110,814.75 = 110,814.75 : x
  2. Step 2: Convert to fraction form
    80,726/110,814.75 = 110,814.75/x
  3. Step 3: Cross multiply
    80,726x = 110,814.75 × 110,814.75
  4. Step 4: Simplify right side
    80,726x = 12,279,908,817.56
  5. Step 5: Solve for x
    x = 12,279,908,817.56/80,726
  6. Step 6: Final answer
    x = 152,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.